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Chapter 6: Q 36 (page 572)

In the following exercises, factor the greatest common factor from each polynomial.

6m(m-5)-7(m-5)

Short Answer

Expert verified

The given polynomial is factored as6m(m-5)-7(m-5)=(m-5)(6m-7)

Step by step solution

01

Step 1. Given Information

Consider the polynomial 6m(m-5)-7(m-5).

The objective is to factor the polynomial by factoring the greatest common factor.

02

Step 2. Factor the GCF

The GCF of the terms of the given polynomial is m-5. And factoring the GCF we get

role="math" localid="1644750913039" 6m(m-5)-7(m-5)=6m路(m-5)-7路(m-5)=(m-5)(6m-7)

03

Step 3. Check

Expanding the factors we get

(m-5)(6m-7)=6m(m-5)-7(m-5)

And we get the given polynomial. So the factor is done correctly.

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