4
QuizMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes

Question 4 • Crowley Summer 26 Credit Recovery Algebra 2 A

Which monomial is a perfect cube?

Answer
A
49p9q3r24
B
81p12q15r12
C
121p9q3r6
D
343p6q21r6

Explanation

A monomial is a perfect cube when its coefficient is a perfect cube and every variable’s exponent is divisible by 3. In choice D, 343 = 7³, and the exponents 6, 21, and 6 are all divisible by 3, so 343p⁶q²¹r⁶ is a perfect cube.

AI-written and checked against the verified answer.

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