Question

factor the following trinomial.
$x^2 + 14x + 45$

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. $x^2 + 14x + 45 = \square$ (type your answer in factored form.)

b. the polynomial is prime.

Explanation:

Step1: Find pair summing to 14, product 45

Identify two numbers: 5 and 9, since $5+9=14$ and $5\times9=45$.

Step2: Write factored form

Use the pair to factor the trinomial.

Answer:

A. $x^2 + 14x + 45 = (x+5)(x+9)$