12
QuizMultiple Choice

Factoring Polynomials Completely — Quiz

Question 12 • Mathematics III

What is the completely factored form of x cubed minus 64 x ?

Answer
A
open paren x minus 4 close paren times open paren x plus 4 close paren times open paren x plus 4 close paren
B
x open paren x minus 8 close paren open paren x minus 8 close paren
C
x open paren x minus 8 close paren open paren x plus 8 close paren
D
open paren x minus 4 close paren times open paren x squared plus 4 x plus 16 close paren

Explanation

Factor out the common factor x: x³ − 64x = x(x² − 64). Then use the difference of squares, x² − 64 = (x − 8)(x + 8). So the completely factored form is x(x − 8)(x + 8), choice D.

AI-written and checked against the verified answer.

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