Question

question
factor.
$x^2 + 14x + 45$

Explanation:

Step1: Find pair summing to 14, product 45

We need two numbers that add up to 14 and multiply to 45. These numbers are 5 and 9, since $5+9=14$ and $5 \times 9=45$.

Step2: Rewrite trinomial as factored form

Use the two numbers to write the quadratic as a product of two binomials.
$x^2 + 14x + 45 = (x+5)(x+9)$

Answer:

$(x+5)(x+9)$