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Factor the following polynomial by grouping:

Factor the following polynomial by grouping:-example-1

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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
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