Name ___________________________________________ Period _____

8.1 – 8.6 Review Tell whether the expression is a polynomial. If it is a polynomial, find its degree and classify it by the number of its terms. Otherwise, tell why it is not a polynomial.

1. –6n2 – n3 + 4

2. w–3 + 5 Find the sum or difference.

3. (3z2 + z – 4) + (–z2 + 2z – 3)

4. (8c2 – 4c + 1) + (–3c2 + c + 5)

5. (10b2 – 3b + 2) – (4b2 + 5b + 1) 6. (3m + 4) – (2m2 – 6m + 5)

Find the product.

7. (3x + 1)(2x – 5)

8. (2y + 3)(y – 5)

9. (n + 1)(n2 + 4n + 5)

10. (w – 3)(w2 + 8w + 1)

Find the product of the square of the binomial. Use the patterns below:

(a + b)2 = a2 + 2ab + b2 or (a - b)2 = a2 - 2ab + b2

11. (x – 9)2

12. (m + 11)2

13. (4p – 5)2

14. (2x +y)2

Find the product of the sum and difference. Use the patterns below:

(a + b)2 = a2 + 2ab + b2 or (a - b)2 = a2 - 2ab + b2

15. (a – 9)(a + 9)

16. (5r + 1)(5r – 1)

17. (4x + 3)(4x – 3)

18. (4 – w)(4 + w)

Factor out the greatest common monomial factor.

19. 10x – 10y

20. 4x2 – 4x

21. 2m2 + 6mn

22. 9a5 + a3

Solve the equation.

23. (x + 14)(x – 3) = 0

24. (m – 12)(m + 5) = 0

25. (2z – 8)(z + 5) = 0

26. (y – 3)(5y + 10) = 0

27. m2 – 10m = 0

28. b2 + 14b = 0

29. 8r2 – 24r = 0

30. –10b2 + 25b = 0

31. 8c2 = 4c

32. –24y2 = 9y Factor the trinomial.

33. b2 – 7b +10

34. a2 + 13a + 36

35. n2 + 2n – 48

36. 2y2 + 15y + 7

37. 3a2 – 13a + 4

38. 6c2 + 17c + 2

Solve the equation.

39. y2 + 17y + 72 = 0

40. a2 – 9a – 36 = 0

41. d2 + 5d – 50 = 0

42. p2 + 16p + 48 = 0

43. 2y2 + y – 10 = 0

44. –2x2 – 9x – 4 = 0

Find the zeroes of the polynomial function.

45. f (x) =6x2 + 45x – 24

46. f (x) =–3x2 – 14x + 24

47. f (x) =8x2 + 53x – 21