14
QuizMultiple Choice

Factoring Polynomials Completely — Quiz

Question 14 • Mathematics III

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

Answer
A
difference of squares
B
perfect-square trinomial
C
difference of cubes
D
sum 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 applicable method is perfect-square trinomial.

AI-written and checked against the verified answer.

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