By Gantert

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

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**Additional info for Amsco's Algebra Two and Trigonometry**

**Example text**

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. What are the dimensions of the rectangle? 44. The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg.

Do you agree with Marietta? Explain why or why not. Developing Skills In 3–8, write each polynomial as the product of its greatest common monomial factor and a polynomial. 3. 8x2 1 12x 4. 6a4 2 3a3 1 9a2 5. 5ab2 2 15ab 1 20a2b 6. 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.

1 5 2a2 ? 25a 5a3 5 5a3 ✔ 5a3 2 a2 2 5a 1 1 5 a2(5a 2 1) 2 1(5a 2 1) 5 (5a 2 1)(a2 2 1) 5 (5a 2 1)(a2 2 1) 5 (5a 2 1)(a 1 1)(a 2 1) Answer (5a 2 1)(a 1 1)(a 2 1) Exercises Writing About Mathematics 1. Joel said that the factors of x2 1 bx 1 c are (x 1 d)(x 1 e) if de 5 c and d 1 e 5 b. Do you agree with Joel? Justify your answer. 2. Marietta factored x2 1 5x 2 4 as (x 1 4)(x 1 1) because 4(1) 5 4 and 4 1 1 5 5. Do you agree with Marietta? Explain why or why not. Developing Skills In 3–8, write each polynomial as the product of its greatest common monomial factor and a polynomial.