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Chapter 7: Q. 114 (page 833)

In the following exercise, factor each expression

w2+4w-32

Short Answer

Expert verified

The factorization of the expressionw2+4w-32is(w+8)(w-4)

Step by step solution

01

Step 1. Given information

Given expression isw2+4w-32

02

Step 2. Find the last terms of the binomials.

The factors of the expression:

Factors of -32Sum of factors
8, -48+ (-4) = 4
16, -216 + (-2) = 14
03

Step 3. Factorization

Use 8and -4as the last terms of the binomials.

w2+4w-32=(w+8)(w-4)

04

Step 4. Check

(w+8)(w-4)=w2+8w-4w-32=w2+4w-32

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