Question

factor the following trinomial.
$x^{2}+12x + 35$
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. $x^{2}+12x + 35=\square$ (type your answer in factored form.)
b. the polynomial is prime.

Explanation:

Step1: Find pair of factors for 35

We need two numbers that multiply to $35$ and add to $12$. The numbers are $5$ and $7$, since $5 \times 7 = 35$ and $5 + 7 = 12$.

Step2: Write factored form

For a trinomial $x^2+bx+c$, the factored form is $(x+m)(x+n)$ where $m$ and $n$ are the found factors.
$x^2 + 12x + 35 = (x+5)(x+7)$

Answer:

A. $x^{2}+12x+35 = (x+5)(x+7)$