# Review Exercises

## Identify Polynomials, Monomials, Binomials and Trinomials

In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial.

 1. a) b) c) d) e) 2. a) b) c) d) 10 e)

## Determine the Degree of Polynomials

In the following exercises, determine the degree of each polynomial.

 3. a) b) c) d) e)  100 4. a) b) c) d) e)

In the following exercises, add or subtract the monomials.

 5 6 7 8 9 10 11 12

In the following exercises, add or subtract the polynomials.

 13. 14. 15. 16. 17. Find the sum of 18. Subtract
Evaluate a Polynomial for a Given Value of the Variable

In the following exercises, evaluate each polynomial for the given value.

 19. Evaluate when: a) b) c) 20. Evaluate when: a) b) c) 21. A manufacturer of stereo sound speakers has found that the revenue received from selling the speakers at a cost of p dollars each is given by the polynomial . Find the revenue received when dollars. 22. Randee drops a stone off the 200 foot high cliff into the ocean. The polynomial gives the height of a stone seconds after it is dropped from the cliff. Find the height after seconds.
Multiply Monomials

In the following exercises, multiply the monomials.

 23 24 25 26

## Multiply a Polynomial by a Monomial

In the following exercises, multiply.

 27 28 29 30 31 32 33 34 35 36

## Multiply a Binomial by a Binomial

In the following exercises, multiply the binomials using: a) the Distributive Property, b) the FOIL method, c) the Vertical Method.

 37 38

In the following exercises, multiply the binomials. Use any method.

 39 40 41 42 43 44 45 46
Multiply a Trinomial by a Binomial

In the following exercises, multiply using a) the Distributive Property, b) the Vertical Method.

 47 48

In the following exercises, multiply. Use either method.

 49 50

## Square a Binomial Using the Binomial Squares Pattern

In the following exercises, square each binomial using the Binomial Squares Pattern.

 51 52 53 54 55 56
Multiply Conjugates Using the Product of Conjugates Pattern

In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern.

 57 58 59 60 61 62
Recognize and Use the Appropriate Special Product Pattern

In the following exercises, find each product.

 63 64 65 66 67 68

## Divide a Polynomial by a Monomial

In the following exercises, divide each polynomial by the monomial.

 69 70 71 72 73 74 75 76

## Greatest Common Factor of two or more expressions

In the following exercises, find the greatest common factor.

 77 78 79 80 81 82

## Factor the Greatest Common Factor from a polynomial

In the following exercises, factor the greatest common factor from each polynomial.

 83 84 85 86 87 88 89 90

## Factor by Grouping

In the following exercises, factor by grouping.

 91 92 93 94

## Factor Trinomials of the Form

In the following exercises, factor each trinomial.

 95 96 97 98 99 100

## Factor Trinomials of the Form

In the following exercises, factor each trinomial.

 101 102 103 104 105 106

## Divide a Polynomial by a Monomial

In the following exercises, divide each polynomial by the monomial.

 107 108 109 110 111 112 113 114

## Factor Binomials of the Form

In the following exercises, factorize using the difference of squares.

 115 116 117 118 119 120

 1. a) binomial b) monomial c) trinomial d) trinomial e) other polynomial 3. a) 3 b) 4 c) 2 d) 4 e) 0 5. 7. 9. 11. 13. 15. 17. 19. a) b) 10 c) 22 21. 12,000 23. 25. 27. 29. 31. 33. 35. 37. a) b) c) 39. 41. 43. 45. 47. a) b) 49. 51. 53. 55. 57. 59. 61. 63. 65. 67. 69. 71. 73. 75. 77. 79. 81. 83. 85. 87. 89. 91. 93. 95. 97. Prime or not factorable. 99. 101. 103. 105. 107. 109. 111. 113. 115. 117. 119.

# Chapter Practice Test

 In the following exercises, simplify each expression. 1. 2. For the polynomial a) Is it a monomial, binomial, or trinomial? b) What is its degree? 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16.  A helicopter flying at an altitude of 1000 feet drops a rescue package. The polynomial gives the height of the package seconds after it was dropped. Find the height when seconds. 17.  Divide: 18. Divide: 19. Multiply: 20. Factor: 21. Factor: 22. Factor: 23. Factor: 24. Factor: