Question

question 8 of 10 which of the binomials below is a factor of this trinomial? $x^{2}+12x + 36$ a. $x - 6$ b. $x + 6$ c. $x - 4$ d. $x + 4$

Explanation:

Step1: Recognize perfect - square trinomial

The trinomial $x^{2}+12x + 36$ is in the form $a^{2}+2ab + b^{2}$, where $a=x$ and $2ab = 12x$. Since $a=x$, then $2b=12$, so $b = 6$. And $b^{2}=36$. So $x^{2}+12x + 36=(x + 6)^{2}$.

Answer:

B. $x + 6$