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Chapter 6: Q 30E (page 572)

In the following exercises, factor the greatest common factor from each polynomial.

-5y3+35y2-15y

Short Answer

Expert verified

The simplest polynomial is

5y(-y2+7y-3).

Step by step solution

01

Step 1. Given  

A polynomial is given as-5y3+35y2-15y.

02

Step 2. Concept Used. 

First we have to find the GCF (group common factor). Now, rewrite the given polynomial using GCF and apply the distributive property to factor the expression.

03

Step 3. Calculation. 

A polynomial is given as-5y3+35y2-15y

GCF of the polynomial,

5y3=5脳y脳y脳y35y2=5脳7脳y脳y15y=5脳3脳yGCF=5y


04

Step 4. Simplifying the polynomial. 

-5y3+35y2-15y5y(-y2+7y-3)

05

Step 5. Check the solution. 

Check by multiplying the factors.

5y(-y2+7y-3)=-5y3+35y2-15y

Which holds true.

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