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Chapter 6: Q 6.28TI (page 580)

Factor completely,6y3+18y2-60y

Short Answer

Expert verified

The factored form is6y(y-2)(y+5)

Step by step solution

01

Given information

Given polynomial6y3+18y2-60y

02

Calculate the GCF and factor it 

The GCF is 6yso factoring it, we get

6y(y2+3y-10)

03

Create the factor table for the trinomial

The table is

Factors of-10Sum of factors
1,10
1+10=11
5,-2
5-2=3
04

Substitute the values to form the factored form 

The factored form is6y(y-2)(y+5)

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