7
QuizMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes

Question 7 • Common Core Algebra I B-IC

Which monomial is a perfect cube?

Answer
1
1x3
3
3x3
6
6x3
9
9x3

Explanation

A monomial is a perfect cube when its coefficient is a perfect cube and each variable’s exponent is a multiple of 3. In 1x³, the coefficient 1 is a perfect cube (1³), and the exponent 3 is a multiple of 3. The other coefficients, 3, 6, and 9, are not perfect cubes.

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