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    Factoring Polynomials

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    12 Problems. Please see the attached file for the fully formatted problems.

    Section 4.1

    Find the greatest common factor for each of the following sets of terms.

    Exercise 14

    , ,

    Exercise 42

    Factor each of the following polynomials.

    Exercise 60

    Find the GCF of each product.

    Exercise 62

    The area of a rectangle of length x is given by Find the width of the rectangle.

    Section 4.2

    Factor each of the following trinomials completely.

    Exercise 56

    Exercise 66

    Find all positive values for k for which each of the following can be factored.

    Section 4.3

    Factor each of the following polynomials completely.

    Exercise 52

    Exercise 70

    Section 4.4

    Factor the following binomials

    Exercise 28

    Exercise 48

    Determine whether each of the following trinomials is a perfect square. If it is, factor the trinomial.

    Exercise 60

    Factor each expression.

    Exercise 64

    Find a value for k so that will have the factors 3m + 7n and 3m - 7n.

    Section 4.5

    Factor each polynomial by grouping the first two terms and the last two terms.

    Exercise 8

    Exercise 16

    Factor each polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms.

    Section 4.6

    Use the ac test to determine which of the following trinomials can be factored. Find the values of m and n for each trinomial that can be factored.

    Exercise 22

    Exercise 24

    Exercise 68

    Exercise 100

    Section 4.7

    Factor each polynomial completely. To begin, state which method should be applied as the first step, given the guidelines of this section. Then continue the exercise and factor each polynomial completely.

    Exercise 8

    Exercise 28

    Exercise 32

    Factor completely.

    Section 4.8

    Solve each of the following quadratic equations.

    Exercise 24

    Exercise 48

    If the sides of a square are decreased by 2 cm, the area is decreased by 36 cm . What were the dimensions of the original square?

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    Solution Summary

    Polynomials are factored.