2
QuizMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes — Quiz

Question 2 • Algebra II

Which monomial is a perfect cube?

Answer
A
343 p to the 6th power q to the 21th power r to the 6th power
B
49 p to the 9th power q cubed r to the 24th power
C
121 p to the 9th power q cubed r to the 6th power
D
81 p to the 12th power q to the 15th power r to the 12th power

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 A, 343 = 7³, and the exponents 6, 21, and 6 are all divisible by 3. The other choices have coefficients 49, 121, or 81, none of which are perfect cubes.

AI-written and checked against the verified answer.

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