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QuizMultiple Choice

Factoring Trinomials: a > 1 — Quiz

Question 1 • Algebra I

What is the factored form of the polynomial? x squared minus 12 x plus 27 ?

Answer
A
open paren x minus 4 close paren times open paren x plus 3 close paren
B
open paren x minus 9 close paren times open paren x minus 3 close paren
C
open paren x plus 4 close paren times open paren x plus 3 close paren
D
open paren x plus 9 close paren times open paren x plus 3 close paren

Explanation

To factor x² − 12x + 27, find two numbers whose product is 27 and whose sum is −12. Those numbers are −9 and −3, so the polynomial factors as (x − 9)(x − 3). This matches choice C.

AI-written and checked against the verified answer.

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