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Chapter 7: Q. 441 (page 900)

In the following exercises, factor completely.

5x2+5x-60

Short Answer

Expert verified

The factored form is5(x-3)(x+4)

Step by step solution

01

Given information

Given expression5x2+5x-60

02

Take GCF common and calculate

Calculating, we get

5x2+5x-60=5(x2+x-12)5x2+5x-60=5(x2+4x-3x-12)5x2+5x-60=5[x(x+4)-3(x+4)]5x2+5x-60=5(x-3)(x+4)

03

Checking by multiplying

Checking, we get

5(x-3)(x+4)=5(x2+4x-3x-12)5(x-3)(x+4)=5(x2+x-12)5(x-3)(x+4)=5x2+5x-60

So its true

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