3
QuizMultiple Choice

Factoring Polynomials Completely

Question 3 • Algebra III A

If a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered?

Answer
A
perfect-square trinomial
B
difference of squares
C
sum of cubes
D
difference of cubes

Explanation

A perfect-square trinomial has the form a² + 2ab + b². Here, x² + 12x + 36 = x² + 2(x)(6) + 6², so it factors as (x + 6)². Therefore, the method is perfect-square trinomial.

AI-written and checked against the verified answer.

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