Amsco's Algebra Two and Trigonometry by Gantert

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

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Amsco's Algebra Two and Trigonometry

Algebra 2 trigonometry textbook will train scholars every little thing there's to grasp made effortless!

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Answer {. , 26, 25, 24, 22, 21, 0, . pgs 8/12/08 1:47 PM Page 35 Chapter Summary 35 Exercises Writing About Mathematics 1. Rita said that when the product of three linear factors is greater than zero, all of the factors must be greater than zero or all of the factors must be less than zero. Do you agree with Rita? Explain why or why not. 2. Shelley said that if (x 2 7)(x 2 5) Ͻ 0, then (x 2 7) must be the negative factor and (x 2 5) must be the positive factor. a. Do you agree with Shelly? Explain why or why not.

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. The area of the rectangle is 240 square feet.

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. 27. a3 1 3a2 2 a 2 3 28. 5x2 2 15x 1 10 29. b3 2 4b 30. 4ax2 1 4ax 2 24a 31. 12c2 2 3 32. x4 2 81 33. x4 2 16 34. 2x3 1 13x2 1 15x 35. 4x3 2 10x2 1 6x 36. z4 2 12z2 1 27 37. (c 1 2) 2 2 1 38. 4 2 (y 2 1) 2 39. x2y 2 16y 40. 3(x 2 1)2 2 12 41. 9 2 9(x 1 2)2 Applying Skills In 42–45, each polynomial represents the area of a rectangle.

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