6
QuizMultiple Choice

Factoring Polynomials Completely — Quiz

Question 6 • Mathematics III

What is the factored form of n squared minus 25 ?

Answer
A
open paren n plus 5 close paren times open paren n plus 5 close paren
B
open paren n minus 25 close paren times open paren n minus 1 close paren
C
open paren n minus 25 close paren times open paren n plus 1 close paren
D
open paren n minus 5 close paren times open paren n plus 5 close paren

Explanation

This is a difference of squares: n² − 25 = n² − 5². Using a² − b² = (a − b)(a + b), the factored form is (n − 5)(n + 5), choice A.

AI-written and checked against the verified answer.

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