12
AssignmentMultiple Choice

Multiplication of Polynomials

Question 12 • OK-Algebra II A

Which of the following is equivalent to (p3)(2p2 - 4p)(3p2 - 1)?

Answer
A
(p3)(6p4 - 12p3 - 2p2 + 4p)
B
(p3)(6p4 + 4p)
C
(2p6 - 4p3)(3p2 - 1)
D
(2p5 - 4p4)(3p5 - p3)

Explanation

Multiply the two binomials: (2p² − 4p)(3p² − 1) = 6p⁴ − 2p² − 12p³ + 4p. Reordering the terms gives 6p⁴ − 12p³ − 2p² + 4p, which remains multiplied by p³. This matches choice A, (p³)(6p⁴ − 12p³ − 2p² + 4p).

AI-written and checked against the verified answer.

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