10
QuizMultiple Choice

Factoring Polynomials Completely — Quiz

Question 10 • Mathematics III

What is the factored form of 6 n to the 4th power minus 24 n cubed plus 18 n ?

Answer
A
6 n open paren n to the 4th power plus 4 n cubed plus 3 n close paren
B
6 n open paren n to the 4th power minus 4 n cubed plus 3 n close paren
C
6 n open paren n cubed minus 4 n squared plus 3 close paren
D
6 n open paren n cubed plus 4 n squared plus 3 close paren

Explanation

The greatest common factor of 6n⁴, −24n³, and 18n is 6n. Dividing each term by 6n gives n³, −4n², and 3, so the expression factors as 6n(n³ − 4n² + 3). This matches choice C.

AI-written and checked against the verified answer.

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