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46. 16q² + 20g - 28q - 35 47. mn-6m 4n+24

46. 16q² + 20g - 28q - 35 47. mn-6m 4n+24

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 46,47
Title: 6.1 Greatest Common Factor and Factor by Grouping ### Exercises Factor the following polynomial expressions: 42. \( pq - 10p + 8q - 80 \) 43. \( u^2 - u + 6u - 6 \) 44. \( x^2 - x + 4x - 4 \) 45. \( 9p^2 + 12p - 15p - 20 \) 46. \( 16q^2 + 20q - 28q - 35 \) 47. \( mn - 6m - 4n + 24 \) 48. \( r^2 - 3r - r + 3 \) 49. \( 2x^2 - 14x - 5x + 35 \) 50. \( 4x^2 - 36x - 3x + 27 \) ### Mixed Practice In the following exercises, factor: 51. \( -18xy^2 - 27x^2y \) 52. \( -4x^3y^5 - x^2y^3 + 12xy^4 \) 53. \( 3x^3 - 7x^2 + 6x - 14 \) 54. \( x^3 + x^2 + x + 1 \) 55. \( x^2 + xy + 5x + 5y \) 56. \( 5x^3 - 3x^2 + 5x - 3 \) The exercises aim to help students practice factoring by finding the greatest common factor and applying factor by grouping techniques.
Transcribed Image Text:Title: 6.1 Greatest Common Factor and Factor by Grouping ### Exercises Factor the following polynomial expressions: 42. \( pq - 10p + 8q - 80 \) 43. \( u^2 - u + 6u - 6 \) 44. \( x^2 - x + 4x - 4 \) 45. \( 9p^2 + 12p - 15p - 20 \) 46. \( 16q^2 + 20q - 28q - 35 \) 47. \( mn - 6m - 4n + 24 \) 48. \( r^2 - 3r - r + 3 \) 49. \( 2x^2 - 14x - 5x + 35 \) 50. \( 4x^2 - 36x - 3x + 27 \) ### Mixed Practice In the following exercises, factor: 51. \( -18xy^2 - 27x^2y \) 52. \( -4x^3y^5 - x^2y^3 + 12xy^4 \) 53. \( 3x^3 - 7x^2 + 6x - 14 \) 54. \( x^3 + x^2 + x + 1 \) 55. \( x^2 + xy + 5x + 5y \) 56. \( 5x^3 - 3x^2 + 5x - 3 \) The exercises aim to help students practice factoring by finding the greatest common factor and applying factor by grouping techniques.
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