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Chapter 6: Q. 245 (page 613)

In the following exercises, factor completely.

7b2+7b-42

Short Answer

Expert verified

The required factors are7(b+3)(b-2)

Step by step solution

01

Step 1. Given Information

The given expression is7b2+7b-42

02

Step 2. Calculation

We will find the factors by first factor out the common term and then use the middle term splitting method.

7b2+7b-42=7(b2+b-6)=7(b2+3b-2b-6)=7(b(b+3)-2(b+3))=7(b+3)(b-2)

03

Step 3. Check

We will verify the factors by multiplying the factors.

7(b+3)(b-2)=7(b(b+3)-2(b+3))=7(b2+3b-2b-6)=7(b2+b-6)=7b2+7b-42

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