15
AssignmentMultiple Choice

Multiplication of Polynomials

Question 15 • 26/27 ALGEBRA II A

What is the product of(p3)(2p2 - 4p)(3p2 - 1)?

Answer
A
6p7 + 4p4
B
6p7- 2p5 - 12p5 + 4p3
C
6p7 - 12p6 - 2p5 + 4p4
D
6p12 - 14p6 + 4p3

Explanation

Distribute each term in (2p² − 4p)(3p² − 1): the product is 6p⁴ − 2p² − 12p³ + 4p. Then multiply every term by p³, adding 3 to each exponent: 6p⁷ − 2p⁵ − 12p⁶ + 4p⁴. This matches choice C, 6p⁷ − 12p⁶ − 2p⁵ + 4p⁴.

AI-written and checked against the verified answer.

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