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Chapter 7: Q. 437 (page 900)

In the following exercises, factor completely.

5r2+22r-48

Short Answer

Expert verified

The factored form is(5r-8)(r+6)

Step by step solution

01

Given information

Given expression5r2+22r-48

02

Split  the middle term and calculate

Calculating, we get

5r2+22r-48=5r2+30r-8r-485r2+22r-48=5r(r+6)-8(r+6)5r2+22r-48=(5r-8)(r+6)

03

Checking by multiplying

Checking, we get

(5r-8)(r+6)=5r(r+6)-8(r+6)5r2+22r-48=5r2+30r-8r-485r2+22r-48=5r+22r-48

So its true

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