Factoring Polynomials
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.