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AssignmentMultiple Choice

Multiplying Polynomials and Simplifying Expressions

Question 3 • 26MATH_Recovery_Alg1B22

What is the product of 2p + q and –3q – 6p + 1?

Answer
A
–12p2 – 6pq – 4p – 3q + 1
B
–12p2– 12pq + 2p – 3q2 + q
C
–9p2q2 + 12pq – 2p + q
D
12p2 + 12pq +2p + 3q2 + q

Explanation

Distribute each term: 2p(–3q – 6p + 1) = –6pq – 12p² + 2p, and q(–3q – 6p + 1) = –3q² – 6pq + q. Combine like terms to get –12p² – 12pq + 2p – 3q² + q, which is choice B.

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