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Chapter 11: Q 6.27TI (page 1069)

Factor completely,5x3+15x2-20x

Short Answer

Expert verified

The factored form is5x(x+4)(x-1)

Step by step solution

01

Given information

Given the polynomial,5x3+15x2-20x

02

Calculate the GCF and factor it

The GCF is 5x. So factoring we get

role="math" localid="1644565639934" 5x(x2+3x-4)

03

Create the factor table for the trinomial

The table is

Factors of-4Sum of factors
4,1
4+1=5
4,-1
4-1=3
04

Substitute the values to form the factored form

The factored form is5x(x+4)(x-1)

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