# Amsco's Algebra Two and Trigonometry by Gantert By Gantert

Algebra 2 trigonometry textbook will educate scholars every thing there's to understand made effortless!

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X3y3 2 2x3y2 1 x2y2 7. 4a 2 12ab 1 16a2 8. 21a2 2 14a 1 7 In 9–26, write each expression as the product of two binomials. 9. y(y 1 1) 2 1(y 1 1) 10. 3b(b 2 2) 2 4(b 2 2) 11. 2x(y 1 4) 1 3(y 1 4) 12. a3 2 3a2 1 3a 2 9 13. 2x3 2 3x2 2 4x 1 6 14. y3 1 y2 2 5y 2 5 15. x2 1 7x 1 x 1 7 16. x2 1 5x 1 6 17. x2 2 5x 1 6 18. x2 1 5x 2 6 19. x2 2 x 2 6 20. x2 1 9x 1 20 21. 3x2 2 5x 2 12 22. 2y2 1 5y 2 3 23. 5b2 1 6b 1 1 24. 6x2 2 13x 1 2 25. 4y2 1 4y 1 1 26. pgs 8/12/08 1:47 PM Page 27 Quadratic Equations with Integral Roots 27 In 27–39, factor each polynomial completely.

X2 2 9x 1 20 5 0 34. x(12 2 x) 5 35 35. x2 1 7x 1 6 Ͻ 0 36. x2 2 2x 2 35 Ͼ 0 37. x2 Յ 5x 38. x(x 1 3) Ͼ 0 39. 4x2 2 16x 1 12 # 0 40. pgs 8/12/08 38 1:47 PM Page 38 The Integers 41. Explain why the equation ͉3x 2 5͉ 1 4 5 0 has no solution in the set of integers. 42. The length of a rectangle is 4 centimeters less than three times the width. The perimeter of the rectangle is 88 centimeters. What are the dimensions of the rectangle? 43. The length of a rectangle is 6 feet more than three times the width.

Answer The dimensions of the rectangle are 7 feet by 12 feet. Exercises Writing About Mathematics 1. Ross said that if (x 2 a)(x 2 b) 5 0 means that (x 2 a) 5 0 or (x 2 b) 5 0, then (x 2 a)(x 2 b) 5 2 means that (x 2 a) 5 2 or (x 2 b) 5 2. Do you agree with Ross? Explain why or why not. 2. If (x 2 a)(x 2 b)(x 2 c) 5 0, is it true that (x 2 a) 5 0, or (x 2 b) 5 0 or (x 2 c) 5 0? Justify your answer. Developing Skills In 3–17, solve and check each of the equations. 3. x2 2 4x 1 3 5 0 4. x2 2 7x 1 10 5 0 5.