75.8k views
1 vote
Factor the following polynomial by grouping:

Factor the following polynomial by grouping:-example-1

1 Answer

2 votes

Answer:

Explanation:

The answer is C. I have never had to rearrange the terms when factoring by grouping, but here I had to in order to get it to work. Rearranging makes the polynomial become:

3yz² + 6y³ - 4y²z - 2z³

Grouping:

(3yz² + 6y³) - (4y²z - 2z³)

Factoring out a 3y from the first term and a 2z out of the second term gives us:

3y(z² + 2y²) - 2z(2y² + z²)

Because addition is commutative, the terms inside the parenthesis are the same. We can factor that out now, leaving in another set of parenthesis what is left:

(2y² + z²)(3y - 2z)

That is C.

User Robsonsjre
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories