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Chapter 7: Q 160 (page 849)

In the following exercises, the factor

10y2-53y-11

Short Answer

Expert verified

The factorization of the expression is(5y+1)(2y-11)

Step by step solution

01

Step 1. Given information

Given expression is10y2-53y-11

02

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

The factors of the first term 10y2=5y,2y

The factors of the last term-11=1,-11

03

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

(5y+1)(2y-11)=10y2-53y-11(5y-11)(2y+1)=10y2-17y-11

04

Step 4. Check

(5y+1)(2y-11)=10y2+2y-55y-11=10y2-53y-11

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