11
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Factoring Polynomials: Sum and Difference of Cubes

Question 11 • Crowley Summer 26 Credit Recovery Algebra 2 A

Which statements are true about a perfect cube monomial and its roots? Check all that apply.

Answer
A
A perfect cube monomial must have exponents on the variables.
B
A perfect cube monomial must have three identical roots, such that the product of the roots equal the perfect square monomial.
C
The coefficient of the monomial must be divisible by 3.
D
Any monomial can be a perfect cube root.
E
The least common multiple of all the exponents on variables of a perfect cube monomial must be 3.
F
It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.