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Chapter 6: Q. 256 (page 613)

In the following exercises, factor completely.

5q2-15q-90

Short Answer

Expert verified

The required factors are5(q-6)(q+3)

Step by step solution

01

Step 1. Given Information

The given expression is5q2-15q-90

02

Step 2. Calculation

We will find the factors by taking common factor out and then use the middle term splitting method.

5q2-15q-90=5(q2-3q-18)=5(q2-6q+3q-18)=5(q(q-6)+3(q-6))=5(q-6)(q+3)

03

Step 3. Check

We will verify the factors by multiplying the factors.

5(q-6)(q+3)=5(q(q-6)+3(q-6))=5(q2-6q+3q-18)=5(q2-3q-18)=5q2-15q-90

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