9
AssignmentMultiple Choice

Lesson 4.3: Multiplying Polynomials and Simplifying Expressions

Question 9 • (AG Q2) Keystone Algebra 1 Block: 26-27(DDiamond)

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: 2p gives −6pq − 12p² + 2p, and q gives −3q² − 6pq + q. Combine the like terms −6pq − 6pq to get −12p² − 12pq + 2p − 3q² + q, which is choice B.

AI-written and checked against the verified answer.

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