Answer: Which expression does not belong with the other three? = p + 8p + 16, Question 16. (x 4)(x + 4) = x 4 (x + 2)(x 3) does not belong with the other three. e. x 2x 3x = x(x 2x 3) = x(x 3x + 1x 3) = x(x(x 3) + 1(x 3)) = x(x 3)(x + 1) N x = 0 or x 1 = 0 x + 1 = 0 or x + 8 = 0 q(x) = cx + d 2t(t + t 72) = 0 Apply distributive property pool = patio Answer: Question 30. Answer: Answer: Question 2. 4z + 4z 3 = 6x 9x + 2x 3 (3m + n) = (3m) + (n) + 2(3m)(n) Answer: As you can see from the examples above, we are simply adding (or subtracting) two or more terms together. We know its nice to share, but please dont share your membership content or your login or validation info. -3x 3x + 2x + 2 Review the homework problems your teacher assigned. Write a conjecture describing what you discovered. a. (-4) + 6(-4) 4(-4) = 24 The box has a length of (x + 8) feet, a width of x feet, and a height of (x 2) feet. Answer: g = 8, Question 17. t = 5 -3y( y 8)(2y + 1) = 0 Answer: Send the new Algebra 1 Unit 7 Polynomials And Factoring Answer Key in a digital form when you finish completing it. w = x -4 Answer: Question 28. = 2u + 3\(\frac{1}{2}\)u \(\frac{3}{4}\), Question 8. Question 4. NO WARRANTY. (3x + 2)(5x 4) = 15x 2x 8. . (x2 + 2x 1) + (2x2 2x + 1) Answer: Question 3. Which is different? (6v2 + 2v 9)(4 5v) x + x + 3. Answer: Question 44. height = x + 9 = 3 + 9 = 12 feet. y = -4(-(x + 2)) -2y + 6y + 4 a. x + x = x(x + 1) J = 5c6, Question 3. 3t = 0 or t + 2 = 0 k = 9/2 Multiplying Monomials Using Algebra Tiles x x 2 + 7x x = 4s4 + 2st + t + 2s4 2st 4t 2 1 = 2 w = 48 + 4 + 4 = 56 in. Find this product. We have to write the polynomial in standard form A = lw (d 9) (3d 1) t(t + 9) 8(t + 9) = 0 = -3x + 14x + 5 = 0 Answer: Answer: Solve the system of linear equations by graphing. Write an expression for the perimeter of the stage. y = x + 15 x > 0 Combined width = 20 + 2x Given, 3x(2x + 3) -4(2x + 3) S = -3.5 8 + 8 + 59 Find the dimensions of the cylinder. Even if both integers are prime, they still share the common factor of 1. The Punnett square shows the possible gene combinations of an offspring and the resulting colors. . 2a = 3 or 5a = -1 \(\frac{x^{5} \cdot x}{x^{8}}\) It is in the form of (a + b)2 = a + 2ab + b Answer: Factor out the common binomial. 2x2 7x + 5 -5s + 2s s 9 Identify the degree and leading coefficient of the polynomial. A = (x + 1)(x + 1) For better learnings, we have curated Big Ideas Math Book Algebra 1 Ch 7 Polynomial Equations and Factoring 7.1 to 7.8 Exercises Questions, Chapter Review, Chapter Test, Cumulative Assessment, etc. 7m 11m 2. Check your answer by multiplying. In Exercises 38, factor the polynomial. Answer: y2 + 2x + yx + 2y x2 + 7x + 6 Write an expression for the perimeter of the playground. 3p + 7 = 0 or 3p 7 = 0 or p + 8 = 0 = 2k(k + 2) 9(k + 2) = 0 Answer: Practice Quick Nav Download. Question 50. Write the polynomial in standard form: 25-x+x. REPEATED REASONING x \(\frac{2}{3}\) = 0 It is in the form of (a + b)(a b) = a b The right side of the equation of each line is a polynomial. The area of the cut picture is 20 square inches. 10w2 31w + 15 l = 2(3) 1 = 5. ECE4253 Polynomials int GF(2). Answer: Question 6. -2w + 36w 4w + 72w = 1152 d(d 5) 5(d 5) Use the appropriate special product pattern to find each product. x + 5 + 4 Given, The number of family memberships at the fitness center in m months is represented by 52 + 6m. 2(x 1) + 3(x + 2) = 5x + 4. Question 49. Question 45. b. x3 6x2 + 9x = x(x 6x + 9) = x(x 3) The number of family memberships at the fitness center in m months is represented by 52 + 6m. Answer: Question 46. (2y)-2 2x 11x + 5 = (x 5)(2x 1) Number of terms = 3 n2 12n + 35 You are playing miniature golf on the hole shown. REASONING m + 24m + 144 Answer: These worksheets focus on the topics typically covered in Algebra I Multiplying Monomials Worksheet Multiplying and Dividing Monomials Sheet Adding and Subtracting Polynomials worksheet Multiplying Monomials with Polynomials Worksheet Multiplying Binomials Worksheet Multiplying Polynomials Simplifying Polynomials Like Terms Factoring Trinomials 39x 17x 376 = 0 The Punnett square shows the possible gene combinations of an offspring and the resulting colors. 3s2 9s = 0 Question 25. y = -0.2(x + 22)(x 15) 8x 2x 2 h(x) = 21x2 37x + 12 we have c is positive, the constant terms in each factor must have the same signs. = t 7t + 11t 2. = x 3x + 2x + 6x 18x + 12 16x 169y 1 18 . Matching Equivalent Forms of an Equation Two Step Equations Maze Gina Wilson Answers 3. y + 15y 2y 30 = 25p + 4 + 20p Perfect SquareTrinomial Pattern, p. 399, Section 7.8 answer choices. Answer: Question 20. (b + 7)2 = 0 (x + 1)(x + 1)(-2) = (x + 1) 2 = x + 2x + 1 2 = x + 2x 1 CRITICAL THINKING Step 2: Use factoring strategies to factor in the problem. It is in the form of (a + b)(a b) = a b The polynomial \(\sqrt{7}\)n4is in standard form. Apply the factoring strategy to factor a . 4r(r + 7) = 0 Essential Question How can you solve a polynomial equation? (2 n) ( 6 + \(\frac{2}{3}\)n ) (n 2) = 0 b. Write the product of two binomials modeled by each rectangular array of algebra tiles. 25 4x2 Answer: Use the graph to fill in each blank in the equation with the symbol + or -. (k 6)(k 4) t + t 72 = 0 Pre-made digital activities. 100 m Unit 7: Polynomials & Factoring Review 1 Name Play this game to review Algebra I. Question 25. Question 13. ERROR ANALYSIS 196 - x2 7. Which expressions are equivalent to -2x + 15x2 8? Then identify the degree of the sum or difference and classify it by the number of terms. Use your answer to Question 3 to factor each polynomial completely. Question 3. So, (x + 10)(x 10) = x 100, Question 6. x = -1 Lets take a look at an example. Answer: How much is spent on buying new and used vehicles in the fifth year? Mathematics. Write an expression that represents the side length of the coaster. Answer: Given, (w 16)(-w 36) = 0 v(v 7) + 6(v 7) For one jump, your height y (in feet) above the trampoline after t seconds can be represented by y = -16t2 + 24t. d. (x + 3)2 (2y 3)(-y + 2) 18q 2q2 = 0 c. A gallon of deck sealant covers 400 square feet. Each of two dogs has one black gene (B) and one white gene (W). A = 15 sq. (z + 3)(z 7) = 0 Answer: Question 44. Essential Question How can you recognize and factor special products? y 62 = 61(x 1) Your friend is not correct. (x x)(x + 1) Question 41. = -35 is less than 1. Answer: x(6x + 8) = (26x)x = w + 9w + 6w + 54 The expression 1000(1 + r )2 represents the balance after 2 years, where r is the annual interest rate in decimal form. Question 21. Answer: 6m2 + 12m = 0 It is in the form of (a b) = a + b 2ab V = 1152 Answer: (2x 1) = (2x) + (1) 2(2x)(1) d: (3)(-9) is negative The degree of the monomial is 0, Question 10. THOUGHT PROVOKING Question 55. Quizzes with auto-grading, and real-time student data. State whether the product is a special product that you studied in Section 7.3. 18v2 15v 18 It is in the form of (a + b)(a b) = a b (n 3)(n2 2n + 4) What is the area of the original picture? 2 = 4d or 2 = -4d (2x 1)(2x + 1) = 4x 1 How long is the diver in the air? Question 10. x 5x = -6 15 5 = 75 Answer: Question 26. Number of terms = 2 = 8(k(k + 5) + 5(k + 5)) = n(n2 + 3) + 2(n2 + 3) It is a linear function. By referring to this guide, you will find all Polynomial Equations and Factoring topics answers and solutions in an explanative way & understand each and every concept of polynomials and factoring so easily. Evaluate 4 7 69 = 2 when = = 1/3 2. (4t) 2(4t)(1) + 1 = 0 Answer: Polynomials can have no variable at all. (t 7)(t + 7) Question 37. Explain how to choose which terms to group together when factoring by grouping. Adhere to our simple actions to have your All Things Algebra Answer Key Unit 7 Polynomials And Factoring ready rapidly: Factors of 28 = 1, 2, 4, 7, 14, 28 Your friend uses the FOIL Method to multiply (x 5)(x + 3). (3p + 7)(3p 7)( p + 8) = 0 It is in the form of (a + b)(a b) = a b x x 2 = 0 A = length width Answer: Question 34. = 61 (2x + 7) = 4x + 49 + 28x, Question 14. Answer: -2y2 + 7y 6 The football field is rectangular. = 9r + 4r 7 + 3r 3r Equation of Circle. (z \(\frac{5}{3}\)) (z \(\frac{2}{3}\)) z + 3 = 0 or z 7 = 0 s2 + 11s + 30 a. (z + 11)(z 11) (x + 9)(x 9) = (x) (9) Answer: Answer: Question 34. (v + 13)(v 2) = 0 (a + b)= a + b + 2ab 3x + 5x + 2 (p + 15), Question 18. Answer: a3 + 3a2 + a + 3 (-8x 12) + (9x + 4) Question 8. Without factoring, determine which of the graphs represents the function g(x) = 21x2 + 37x + 12 and which represents the function h(x) = 21x2 37x + 12. w 8 = 0 or 2w + 17 = 0 x 6 = (x + 6)(x 6), Question 2. (-3n2 + n) (2n2 7) -3q4rs6 Any gene combination with an N results in normal coloring. x + 8 = y MODELING WITH MATHEMATICS (j 7)(j 6) (t + 2)(-2t + 5) = 0 (-3p3 + 5p2 2p) + (-p3 8p2 15p) = (28 28) (24 24) n 9 = 0 -8h2 13h + 6 (x2 + 2x 1) + (2x2 2x + 1) S = -0.028(5)3 0.32(5)2 + 1.6(5) + 59 Fabulous -- great explanations (videos) and PLENTY of practice problems provided for students to strengthen a skill they normally have trouble with. k + 25 does not belong with the other three. width = 8 feet. During a 7-year period, the amounts (in millions of dollars) spent each year on buying new vehicles N and used vehicles U by United States residents are modeled by the equations 2/13, 7.2 - Adding and Subtracting Polynomials, 7.2 Worksheet 7.8 Worksheet. The table shows one method of finding the product of two binomials. Find the combined area of the photo and the frame when the width of the frame is 4 inches. -x + 3x 2x + 6 (x 5)(2x 1) = 2x x 10x + 5 Answer: Question 1. Answer: 14x2 + 31x + 15 You deposit $1000 in an account that earns interest compounded annually. = w + 15w + 54, Question 24. Does the equation (x2 + 3)(x4+ 1) = 0 have any real roots? d. (2x 3x) (x2 2x + 4) Answer: Question 58. (x 4)(x 7) h 2h = 0 or h + 2 = 0 (x + 3)(x 3) How can you rearrange these regions to show that a2 b2 = (a + b)(a b)? Answer: 20x3 + 30x = 10x(2x + 3), Question 30. 16h 49 Work with a partner. x = -3 or x = 1/4 3s = -5 or 5s = -8 Combine the like terms = 3(3m 7) Answer: x + 8x + 15 = 0 = 4x + 1 4x a(a b) + b(a b) x = 7, 2. 15 hours ago. x2 3x + 4ax 12a THOUGHT PROVOKING (x + 5)(x 3) Answer: Question 2. Answer: In Exercises 2130, use the FOIL Method to find the product. The volume of the box is -h + 5h + 36h. x = 5, 6 Answer: Answer: Do you have enough money in your account after 3 years? = a + 3a + (a + 3) Answer: If there are three terms, look for squares of a difference or a sum. pre-college algebra co req factoring polynomials greatest common factor the greatest common factor (gcf) of polynomials is the largest polynomial that divides Skip to document Ask an Expert 3m(3m 5n)(2m + n). examples 1. n = -9, 9. Explain how you can determine whether a polynomial is a perfect square trinomial. It is in the form of (a + b)(a b) = a b MAKING AN ARGUMENT Question 9. = x(x + 4) 2(x + 4) (4s4 + 2st + t) + (2s4 2st 4t) = 6[(y 3) (y 1)], Question 8. b. Answer: The total area (in square feet) of the stage can be represented by x2 + 27x + 176. The height h (in feet) above the water of a cliff diver is modeled by h = -16t2 + 8t + 80, where t is the time (in seconds). (3p + 7)(3p 7)( p + 8) = 0 Answer: 9 + d2 3d The cost (in dollars)of making b bracelets is represented by 4 + 5b. -x x x Write two polynomials that are not monomials whose product is a trinomial of degree 3. The Teacher-Author indicated this resource includes assets from Google Workspace (e.g. 2 : 5 . = x(x 3) + 2(x 3) = (a + 13b)(a 2b). Answer: Question 60. It is in the form of (a + b)(a b) = a b The content you are trying to accessrequires a membership. Question 29. (r 5)(2r 1) = 2r 11r + 5, Use the FOIL Method to find the product. Answer: (c 3)(c 4) = 0 x = 0 or x = 3 The length of the pumpkin patch = (s 40) 4y2 - 81 8. f. (x 6)(x 1) = 0 f(x) = 2(3)x Our state-specific browser-based blanks and complete instructions eliminate human-prone errors. Answer: (b + 10)(b + 8) x(x 3) + 1(x 3) = 0 q(x) = 1/2 x 1/2. (n + 9)(n 9) = 0 = v + 8v 3v 24v (x + 6)(x + 4)(x 4) A = x 2(15)x + 15 Why? 9 + d2 3d The volume (in cubic feet) of a room in the shape of a rectangular prism is represented by 12z3 27z. Given, (h + 9)(h 3) = 0 d. (x 4)(x 5) = 0 What do you know about m and n when c < 0? Answer: We think others will value it, too. The length of the base of the Parthenon is 8 meters more than twice its width. Given, -5k(k + 5) + 3(k + 5) (x 1)(x 2), b. x + 5x + 4 (-5g 2h)(-5g + 2h) 0. Essential Question What are the patterns in the special products (a+ b)(a b), (a + b)2, and (a b)2? Write a polynomial that represents the total number of memberships at the fitness center. = h 8h 5h + 40 Is your friend correct? (-y2 + y + 2) (y2 5y 2) = -2y + 6y + 4, Question 8. s + 20s + 100 = 0 Answer: The area of the reserve is 136 square miles. 2x = 1 = 5x 35 = (7a 1), Question 24. Given, 2x + x 10 = 0 (x2 + 1)(x2 1) 8[(v + 3)(v 2)] MODELING WITH MATHEMATICS -4x3 (a b)= a + b 2ab Click on the respective link and kickstart your learnings. = (x + 6)(x 3x + 2) f(x) = 2(x 1)(x 2)(x 2), Question 18. REASONING Answer: 14x2 + 31x + 15 Question 35. n(n 8) + 3(n 8) = 0 Given polynomial Answer: Answer: 400/1 = 520/x 6x2 + 17x + 7 k + 8. 5x2 15x = 0 (7m + 8n)(7m 8n) 5a(2a 3) + 1(2a 3) x-intercept are -315 and 315. c 7c + 12 = 0 -8q Thats why we may do the following (and we ask that you agree): SATISFACTION GUARANTEED. Then classify the polynomial by the number of terms. Answer: P = 4 (x 15) The degree of a monomial is the sum of the exponents of the variables. 3x 1 = 0 or 5x + 1 = 0. p(p + 7) 5(p + 7) Write your answer in terms of . WRITING b. v2 v 42 Answer: (a2 3ab + b2) + (-a2 + ab + b2) = -2ab + 2b, Find the product. In Exercises 3136, solve the equation. Answer: a = 3/2, -1/5, 7.7 Factoring Special Products (pp. v2 + 11v 26 = 0 \(\frac{4}{9}\) In Exercises 38, solve the equation. Here is a set of practice problems to accompany the Factoring Polynomials section of the Preliminaries chapter of the notes for Paul Dawkins Algebra course at Lamar University. Answer: r 6r + 9 Answer: Answer: Answer: by tfgiles4107. So, (a + b)(a b) = a b x + 16 + 11x + 176 y(y 10) + 3(y 10) = 0 h3 + 2h2 9h 18 Wondering how to ace up your preparation for Chapter 7 Polynomial Equations and Factoring? 8x2 56x + 48 How many times greater is the area of your pupil after entering the room than before entering the room? = (2x) 2(2)x + 1 Describe two methods you can use to simplify (2x 5)2 (x 4)2. 8y2 24y = 8y(y 3) (z + 3)(z 25) = 0 -x + 3y = 14 Answer: Question 46. The coefficient of the polynomial is 1, -3 The possible gene combinations result in black is 75 percent. = 49x + 9 42x Sign, fax and printable from PC, iPad, tablet or mobile with pdfFiller Instantly. a. is not factorable b. Use algebra tiles to write each polynomial as the product of two binomials. -3x(x 5) -1(x 5) = 0 s 5 = 0 or s 10 = 0 1000(1 + 2r + r) Answer: Question 28. Find the width of the bunker at ground level. In Exercises 2932, find the x-coordinates of the points where the graph crosses the x-axis. Check your answer by multiplying. = 5s 4s 12. The most important property in all algebra is the Zero product property. -3p3 + 5p6 4 c. The domain is continuous. (t 2)(t2 5t + 1) Question 2. w(w 6)2 = 0 n 7n 5n + 35 = 400 + 1 + 40 b + b = 1 How can you recognize and factor special products? = n 2n + 4n 3n + 6n 12 No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. Explain how it is used in algebra and why it is so important. Answer: Question 4. x3 25x = 0 \(\frac{4}{3}\)x + \(\frac{4}{9}\) = -x2 (m 3)(m 7) = m 10m + 21, Question 6. (x + 9)(x 6) = 0 30v + 14v + 53v 36. (y3 + 4) = (y) + 4 + 2y(4) This action is called porpoising. x2 4x + 4 The greatest common factor of 54 and 81 is 27. Answer: = n(n2 2n + 4) 3(n2 2n + 4) So, the factors (x + 6) and (x 5) represent the length and width of the rectangular piece of land. x + 4xy + 2xy + 4y The name of the polynomial is trinomial. = 3[9m 6m 6m + 4] a = C = 5, b. Question 5. Length = 72 + x + x a. x3 + 4x2 + 3x y = 4x + 11x 3 l = 2x 1 So, 2m 7(3 m) = 3(3m 7). Question 35. When is it not possible to factor ax2 + bx + c, where a 1? = z + \(\frac{2}{3}\)z \(\frac{5}{3}\)z + \(\frac{10}{9}\), Question 28. w(w 1) 3(w 1) If we have a dispute that we cannot resolve on our own, we will use mediation before filing a lawsuit in a regular court (except that we can use small claims court). It is in the form of (a + b)(a b) = a b d. x 4x + 4x = x(x 4x + 4) = x(x 2) G (-3n2 + n) (2n2 7) = -3n + n 7, Question 7. Thi. -20.5 is same as -20.5x0 since anything to the zero power is equal to 1. 3. Describe two ways to determine the percent of possible gene combinations that result in green pods. 33 27 For g(x) the function has a positive value for b, the constant terms in each factor will both be positive which results in negative roots and the graph of the function g(x) = 21x2 + 37x + 12, has negative x-intercepts. Write a polynomial of degree 3 that satisfies each of the given conditions. = (5x 1)(5x 1) z2 + 7z + 3z + 21 h(x) = 21x2 37x + 12 -5y 20y 2y 8 The function is increasing. (p2 + p + 3) (-4p2 p + 3) = 5p + 2p, Question 11. a. l = 72 + 4 + 4 = 80 in. b. d(d + 7) + 7(d + 7) = 0 x(x 12) -2(x 12) Answer: (4x y)2 2(x + 16 + x + 11) or 2(2x + 27) = (55 55) (50 50) x + x 2 = 0 Answer: Question 48. Answer: Question 47. Question 45. SIMPLY THE BEST MATH CURRICULUM THAT MAKES LEARNING MORE FUN! MODELING WITH MATHEMATICS Combine the like terms to add or subtract the polynomials -3x + 15x 1x + 5 = 0 = -8x + 9x 12 + 4 Question 53. What does it mean for a polynomial to be factored completely? v 7 = 0 or v + 6 = 0 3x3 12x Question 33. (3a + 7) + (a 1) \(\sqrt{7}\)n4 In Exercises 4346, find the sum or difference. a. PROBLEM SOLVING x = 0, 1, Question 2. 3x(x 4) -1(x 4) = 0 Answer: Answer: Question 56. y(y + 8) + 5(y + 8) CRITICAL THINKING h(h + 9) 3(h + 9) = 0 3x 7 + 2x p + p + 3 + 4p + p 3 x 3x + x 3 = 0 COMPARING METHODS -16 16 3 x + 2x + 2 Don't sweat itwe want to get you back on track! v = 7, -6, Question 9. In Exercises 916, factor the polynomial. (d 2)(d + 6)(d + 8) = 0 (-12 n)2 Write a polynomial equation of degree 4 whose only roots are x = 1, x = 2, and x = 3. All answer keys are included. -4(x+ 2) 3m(6m + 10mn + 3mn 5n) 10a2 13a 3 It is in the form of (a + b)(a b) = a b (3g2 g) + (3g2 8g + 4) 47 44 9a2 - 121 6. Web ebook, unit 4 linear equations homework 12 gina wilson, gina wilson all things algebra 2014 geometry basics, gina wilson unit 8. 2x3 + 8x2 4x + 8 Solving all practice questions, quizzes, and text questions provided here on Big Ideas Math Algebra 1 Answers Chapter 7 Polynomial Equations and Factoring aid in your preparation. h = 12 in. 42, 63 w3 8w2 + 16w = 0 a. Name: Date: Unit 7: Polynomials & Factoring Homework 7: Factoring Trinomials (x2 + bx + c) Bell: Directions: Factor each polynomial. = n 10n + 24, Question 10. Answer: The sum of two polynomials is always a polynomial. 9 1 = 9 Answer: x = 4, 5 The highest exponent in the polynomial is called a degree. 4r r 8r 10. x 3x 1x + 3 = 0 b + 7 = 0 Also, check out the more Big Ideas Math Algebra 1 Answers to gain more marks in the examinations. (7m + 8n)(7m 8n) = (7m) (8n) z = -9, 1/3, Question 30. x a = 0 or x b = 0 This resource is very thorough! THOUGHT PROVOKING Question 4. Answer: So, the width is x + 11. b. Step 4: 4x 3, Subtracting Polynomials Find all solutions of the equation x3 + 6x2 4x = 24. Write the expression modeled by the algebra tiles in each step. Level 1 is a rectangle having length x and breadth 10 + (x 12) a. MODELING WITH MATHEMATICS Answer: It is in the form of (a + b)(a b) = a b It represents vertical distance between points on the lines with the same x value. Given polynomial Answer: Question 2. Question 1. 4x = 49 WHICH ONE DOESNT BELONG? No, it is not possible to factor the trinomial 2x2 + 2x + 1. y 62 = 61x 61 Unit 3) Functions. s 2s 9 + 2s 6s + s = x + 49 + 14x Step 3: Use the zero product property and set each factor containing a variable equal to zero. A = s s Question 32. Factors of 63 = 1, 3, 7, 9, 21, 63 n = 2 or n = -18/2 or n = 2 Answer: = (39 + 36)(39 36) PLEASE, NO SHARING. Question 5. Can you use the perfect square trinomial pattern to factor y2 + 16y + 64? = -8h(h + 2) + 3(h + 2) Question 3. (n 6)(n 4) = n(n 4) 6(n 4) Answer: Answer: 8y3 -12y Answer: x \(\frac{4}{3}\)x + \(\frac{4}{9}\) = 0 1.1 Exponents ; 1.2 Absolute Value; 1.3 Radicals; 1.4 Rationalizing ; 1.5 Functions ; 1.6 . n 4 = (n + 4)(n 4) = x(x2 + 5x + 8) + 1(x2 + 5x + 8) 9x7 + 13x5 6x2 Organize your results in a table. (x 1)(5x + 6) = 0 4p2 p = 0 Factoring Polynomials Completely, p. 404. ERROR ANALYSIS In Exercises 27 and 28, describe and correct the error in factoring the polynomial. (x + 2)(x 2) = x(x 2) + 2(x 2) The Punnett square shows the possible gene combinations of the offspring of two Gy pea plants and the resulting pod colors. (2w 3)(3w + 5) It is in the form of (a + b)(a b) = a b Explain your reasoning. Answer: Question 2. 2(3y 14) = y + 2 The solution is c = -42. x(x 25) = 0 192 112 10000 x Classify each polynomial by the number of terms. Given expression So, (5p + 2) = 25p + 4 + 20p, Question 8. y y1 = m(x x1) Answer: Question 22. x(x 9) = 0 4x + 32x 7x 56 = 0 Step 1: Write the equation in a correct form b. -22d2 + 29d 9 Answer: Answer: This is probably best done with a couple of examples. You design a frame to surround a rectangular photo. x + px + qx + pq. 3z2 + 26z 9 \(\sqrt{81}\) = 6x(x 2) + 1(x 2) The total area (in square feet) of the stage can be represented by x2 + 27x + 176. A dentists office and parking lot are on a rectangular piece of land. z 7z + 3z 21 p + 7p 5p 35 PLEASE RESPECT OUR COPYRIGHT AND TRADE SECRETS. -2t 4t + 5t + 10 = 0 h2 + 6h 27 = t 5t + t 2t + 10t 2 Question 1. in -20.5 (3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. 2x + x +x + x + x + x 1 1 1 = 2x + 5x 3 Question 37. 2 n = 0 or 6 + \(\frac{2}{3}\)n = 0 or n 2 = 0 = 5x(5x + 1) + 1(5x + 1) CRITICAL THINKING Check your solutions. 1. = (3x) + (1) + 2(3x)(1) Sample 2x2 + 5x + 2 s + 2(10)(s) + 10 = 0 2x 6x + 5x 15 = 0 x = 2 a. (-k + 5) (3k2 6) = -3k k + 11. You are jumping on a trampoline. -x(x 3) 2(x 3) They are one of the most popular pets in the world and have been bred for various purposes, Explain your reasoning. Write the prime factorization of the number. Find a value for w so that the equation has (a) two solutions and (b) three solutions. (x + 3)(x + 2) t = 0, -2, Question 3. Combine the like terms y 6y + 9 Write the product represented by the algebra tiles. = (y 3). x(x 2) + 3(x 2) It is in the form of a b = (a + b)(a b) 2x x + 4x 2 (3z 5)(3z + 5) = (3z) (5) Answer: _____ in descending order of the exponents. Answer: c. (3x + 1)(3x 1) x + 9 3x(2x y) + 4y(2x y) Find both answers. (x 4)(3x 2), Question 5. A = P(1 + r/2)nt 4(x + 3x 54) = 0 Answer: Question 2. Please dont reverse-engineer the software or printed materials. A = lw 8m + 30m + 7 Unit 7 Polynomials and Factoring Worksheet Answers Unit 7 Polynomials And Factoring Gina Mount Wilson Answer Key. -5y2 22y 8 7.3 Solving Polynomial Functions by Factoring. (2x 3x) (x2 2x + 4) PROBLEM SOLVING Special Properties of 0 and 1 Question 1. I teach both face-to-face and online Algebra and this resource was helpful for both. m 7m + 1m 7 = 0 (2x + 1)(2x 1) = (2x) (1) Identifying Parts of an Expression . Question 3. y = -3x + 14x + 5 HOW DO YOU SEE IT? 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