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Chapter 6: Q 40 (page 572)

Factor by Grouping In the following exercises, factor by grouping.

6y2+7y+24y+28

Short Answer

Expert verified

The simplest polynomial is(6y+7)(y+4)

Step by step solution

01

Step 1. Given

A polynomial is given as6y2+7y+24y+28

02

Step 2. concept Used

First we have to find the GCF (group common factor). Then we will factor out it after that we will group the given polynomial.

03

Step 3. Calculation

A polynomial is given as 6y2+7y+24y+28

First group the polynomial,

6y2+7y+24y+28=6y2+7y+(24y+28)

Factor out the GCF,

=y(6y+7)+4(6y+7)=(6y+7)(y+4)

04

Step 4. Verification

Multiply the factors,

(6y+7)(y+4)=6y2+24y+7y+28=6y2+7y+24y+28

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