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Name _________________________________________ Period ________ Chapter 8 Review Find the sum or difference. 1. (4a3 – 4a2) + (6a3 + 5a2) 2. (2y2 – 4y) – (–y3 + 2) 3. (3x2 + 2x – 2) – (5x2 – 5x + 6) 4. (2h2 – 7h + 10) + (h2 + 4h + 7) Find the product. 5. n(2n3 – 3n + 2) 6. (2w – 3)(4w – 7) 7. (d2 + 3d + 2)(d + 1) 8. ( p + 3)( p – 3) 9. (t – 4)2 10. (2s – 5)(2s + 5) In Exercises 11 and 12, use the following information. Father In humans, the gene B is for brown eyes, and the gene b is for blue eyes. Any gene combination with a B results in brown eyes. Suppose the parents have the same gene combination Bb. The Punnett square shows the possible gene combinations of the offspring and the resulting eye color. Mother B b B BB BB b Bb bb 11. What percent of the possible gene combinations of the offspring result in blue eyes? 12. Show how you could use a polynomial to model the possible gene combinations of the offspring. Solve the equation. 15. (q + 7)(q – 4) = 0 16. (4z – 1)(z + 5) = 0 Factor out the greatest common monomial factor. 17. 4c8 – 8c5 18. 6f2g3 + 12g Solve the equation. 20. 3m2 – 9m = 0 21. 7u2 = 3u 19. 2k3 + 6k2 – 14k In Exercises 22 and 23, use the following information. A frog leaps from a lily pad in a pond into the air with an initial vertical velocity of 20 feet per second. The height h (in feet) of the frog can be modeled by h = –16t2 + vt + s where t is the time (in seconds) the frog has been in the air, v is the initial vertical velocity (in feet per second), and s is the initial height. 22. Write an equation that gives the height of the frog as a function of the time (in seconds) since leaving the lily pad. 23. After how many seconds does the frog land in the water? Factor the trinomial. 24. x2 + 9x + 14 25. y2 – y – 12 Factor the polynomial completely. 27. 3x3 + 15x2 + 18x 29. r(r + 3) + 7(r + 3) 28. 2s2 – 18 26. 3m2 + 20m + 12 Solve the equation. 30. b4 – 3b3 – 10b2 = 0 31. j( j + 3) = 28 32. A small vegetable garden has an area of 80 square feet. Its length is 2 feet more than the width. Find the dimensions of the garden. x x+2