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16. 35x²-32x - 12

16. 35x²-32x - 12

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter0: A Review Of Basic Algebra
Section0.4: Polynomials
Problem 16E
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I need help with 16, please. It’s about factoring. Algebra 2 third edition ISBN: 978-1-64626-475-9

ssed by the polynomial Example 6 mial model assumes negligible air resistance. stant in ft/sec² due to gravitational pull, v, is velocity in ft/sec, and h, is the initial height in feet. This polyno- Answer xercises Factoring Quadratic Polynomials Factor out the greatest common factor. Binomials: a² - b² Look for special factoring patterns. Trinomials: a² + 2ab + b² actor trinomials. 15x 6² -16 + 48t + 0 = -16t² + 48t = -16t(t - 3) +bx+c: Find factors of c whose sum is b. + bx+c: Find factors of ac whose sum is b. of the ball as a factored polynomial. If a soccer ball is kicked from the ground with an initial vertical velocity of 48 ft/sec, express the height a +9 ) + 2(y-1) Ja - 72 ses tely. 5- 286² xy²z 168c² 49 modeling the height of a projectile. 1. Substitute the initial vertical velocity and height into the polynomial 2. Factor the polynomial. 2. x² - 81 6.25x² - 4y² 10. 3c² 13c 10 14. 7x² - 67x - 30 18. 16x² - 34x - 15 - - 3.x² - 4 7.x² - 2x - 63 11. c² - 9d² 15. 2x² - 11x - 13 19. 8x² 30x - 27 21.3x² - 108 24. 19x² - 114x + 171 27. b² - 10bc + 25c² 30. 288a5 - 200a³ 33. 12x³ + 104x² - 36x 36. 2944 - 24² AWAR 1 4.4x² - 9 8. a² - 19a + 18 12. x(x + 5) - 2(x + 5) 16. 35x² - 32x - 12 22. 2x³ - 8x 25. asb² + 2ab³ + a³b² 28. 4x³y - 4xy³ 31. x² - 1 34. 30a³ - 235a² + 385a 37. 12a³-9a¹ + 18a³ ectangle is expressed by x²-3x - 28. Express the length and width of the rectangle angle is expressed by 2x² + 2x - 6. Express the base and height of the triangle in 5.2 FACTORING QUADRATIC POLYNOMIALS 195
Transcribed Image Text:ssed by the polynomial Example 6 mial model assumes negligible air resistance. stant in ft/sec² due to gravitational pull, v, is velocity in ft/sec, and h, is the initial height in feet. This polyno- Answer xercises Factoring Quadratic Polynomials Factor out the greatest common factor. Binomials: a² - b² Look for special factoring patterns. Trinomials: a² + 2ab + b² actor trinomials. 15x 6² -16 + 48t + 0 = -16t² + 48t = -16t(t - 3) +bx+c: Find factors of c whose sum is b. + bx+c: Find factors of ac whose sum is b. of the ball as a factored polynomial. If a soccer ball is kicked from the ground with an initial vertical velocity of 48 ft/sec, express the height a +9 ) + 2(y-1) Ja - 72 ses tely. 5- 286² xy²z 168c² 49 modeling the height of a projectile. 1. Substitute the initial vertical velocity and height into the polynomial 2. Factor the polynomial. 2. x² - 81 6.25x² - 4y² 10. 3c² 13c 10 14. 7x² - 67x - 30 18. 16x² - 34x - 15 - - 3.x² - 4 7.x² - 2x - 63 11. c² - 9d² 15. 2x² - 11x - 13 19. 8x² 30x - 27 21.3x² - 108 24. 19x² - 114x + 171 27. b² - 10bc + 25c² 30. 288a5 - 200a³ 33. 12x³ + 104x² - 36x 36. 2944 - 24² AWAR 1 4.4x² - 9 8. a² - 19a + 18 12. x(x + 5) - 2(x + 5) 16. 35x² - 32x - 12 22. 2x³ - 8x 25. asb² + 2ab³ + a³b² 28. 4x³y - 4xy³ 31. x² - 1 34. 30a³ - 235a² + 385a 37. 12a³-9a¹ + 18a³ ectangle is expressed by x²-3x - 28. Express the length and width of the rectangle angle is expressed by 2x² + 2x - 6. Express the base and height of the triangle in 5.2 FACTORING QUADRATIC POLYNOMIALS 195
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