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Math  /  Algebra

QuestionFactor the following trinomial. Remember to factor out the greatest common factor as the first step. 9q2(m+1)2−3q(m+1)2−2(m+1)29 q^{2}(m+1)^{2}-3 q(m+1)^{2}-2(m+1)^{2}
Select the correct choice below and fill in any answer boxes within your choice. A. 9q2(m+1)2−3q(m+1)2−2(m+1)2=9 q^{2}(m+1)^{2}-3 q(m+1)^{2}-2(m+1)^{2}= □\square B. The polynomial is prime.

Studdy Solution
Combine the factored expression with the GCF factored out earlier:
(m+1)2(3q+1)(3q−2) (m+1)^{2}(3 q + 1)(3 q - 2)
This is the fully factored form of the original expression.
The correct choice is: A. 9q2(m+1)2−3q(m+1)2−2(m+1)2=(m+1)2(3q+1)(3q−2)9 q^{2}(m+1)^{2}-3 q(m+1)^{2}-2(m+1)^{2} = (m+1)^{2}(3 q + 1)(3 q - 2)

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