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Chapter 6: Q 34 (page 572)

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

2x(x-1)+9(x-1)

Short Answer

Expert verified

The given polynomial is factored as2x(x-1)+9(x-1)=(x-1)(2x+9)

Step by step solution

01

Step 1. Given Information

Consider the polynomial 2x(x-1)+9(x-1).

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 x-1. And factoring the GCF we get

2x(x-1)+9(x-1)=2x路(x-1)+9路(x-1)=(x-1)(2x+9)

03

Step 3. Check

Expanding the factors we get

(x-1)(2x+9)=2x(x-1)+9(x-1)

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

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