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Chapter 6: Q 35 (page 572)

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

3b(b-2)-13(b-2)

Short Answer

Expert verified

The given polynomial is factored as3b(b-2)-13(b-2)=(b-2)(3b-13)

Step by step solution

01

Step 1. Given Information

Consider the polynomial 3b(b-2)-13(b-2).

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 b-2. And factoring the GCF we get

3b(b-2)-13(b-2)=3b路(b-2)-13路(b-2)=(b-2)(3b-13)

03

Step 3. Check

Expanding the factors we get

(b-2)(3b-13)=3b(b-2)-13(b-2)

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

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