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Chapter 7: Q 173 (page 850)

In the following exercises, factor

5s2-9s+4

Short Answer

Expert verified

The factorization of the expression is(5s-4)(s-1).

Step by step solution

01

Step 1. Give information

Given expression is5s2-9s+4.

02

Step 2. Find the product of a×c

a脳c=5脳4=20

03

Step 3. Find the last terms of the binomials.

Factors of 20Sum of factors
-4, -5-4 + (-5) = -9
04

Step 4. Factorization

5s2-4s-5s+4=s(5s-4)-1(5s-4)=(5s-4)(s-1)

05

Check

(5s-4)(s-1)=5s2-4s-5s+4=5s2-9s+4

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