4
AssignmentMultiple Choice

Multiplying Polynomials and Simplifying Expressions

Question 4 • 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 in 2p + q across –3q – 6p + 1: the products are –6pq, –12p², 2p, –3q², –6pq, and q. Combine the two –6pq terms to get –12pq. The result is –12p² – 12pq + 2p – 3q² + q, which is choice B.

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