25
QuizMultiple Choice

Polynomial Operations — Test

Question 25 • Algebra II

What are the factors of m squared minus 6 m plus 6 m minus 36 ?

Answer
A
open paren m minus 6 close paren times open paren m plus 6 close paren
B
open paren m minus 4 close paren times open paren m plus 9 close paren
C
open paren m minus 2 close paren times open paren m plus 18 close paren
D
open paren m minus 3 close paren times open paren m plus 3 close paren

Explanation

Combine the middle terms: −6m + 6m = 0, so the expression becomes m² − 36. This is a difference of squares: m² − 6² = (m − 6)(m + 6). The correct choice is C, (m − 6) times (m + 6).

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