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Chapter 7: Q 159 (page 849)

In the following exercises, the factor

4q2-7q-2

Short Answer

Expert verified

The factorization of the expression is(4q+1)(q-2)

Step by step solution

01

Step 1. Given information

Given expression is4q2-7q-2

02

Step 2.  Find all the factor pairs of the first term and third term.

The factors of the first term 4q2=4q,q

The factors of the last term-2=1,-2

03

Step 3. Test all the possible combinations of the factors until the correct product is found.

(4q+1)(q-2)=4q2-7q-2(4q-2)(q+1)=4q2+2q-2

04

Step 4. Check

(4q+1)(q-2)=4q2+q-8q-2=4q2-7q-2

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