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Chapter 6: Q. 342 (page 634)

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

6y2+12y-6

Short Answer

Expert verified

The factored form of the polynomial is6y2+2y-1.

Step by step solution

01

Step 1. Given information.

The polynomial is,

6y2+12y-6

02

Step 2. Finding the greatest common factor.

Now, the greatest common factor for the given polynomial will be

6y2+12y-6鈬�6y2=2脳3脳y脳y鈬�12y=2脳2脳3脳y鈬�6=2脳3

Then the greatest common factor is6.

03

Step 3. Factoring the polynomial. 

Now using the distributive property factor the polynomial.

6y2+12y-6=6y2+2y-1

Hence, the simplified polynomial is6(y2+2y-1).

04

Step 4. Checking the result.

Multiplying the factors then we get

6(y2+2y-1)=6y2+12y-6.

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