5
QuizMultiple Choice

Factoring Trinomials: a > 1 — Quiz

Question 5 • Algebra I

Which expression is equivalent to n squared plus 26 n plus 88 for all values of n ?

Answer
A
open paren n plus 4 close paren times open paren n plus 24 close paren
B
open paren n plus 4 close paren times open paren n plus 22 close paren
C
open paren n plus 8 close paren times open paren n plus 18 close paren
D
open paren n plus 8 close paren times open paren n plus 11 close paren

Explanation

To factor n² + 26n + 88, find two numbers whose product is 88 and whose sum is 26. Those numbers are 4 and 22, so the expression factors as (n + 4)(n + 22). Expanding this choice gives n² + 26n + 88, so choice C is equivalent for all values of n.

AI-written and checked against the verified answer.

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