20
QuizMultiple Choice

Factoring Polynomials Completely

Question 20 • Adv. Algebra II S1 Original

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

Answer
p
perfect-square trinomial
d
difference of squares
s
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.

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