Question

question
factor.
$x^2 + 12x + 32$

Explanation:

Step1: Find pair of factors

Identify two numbers that multiply to $32$ and add to $12$. The numbers are $4$ and $8$, since $4 \times 8 = 32$ and $4 + 8 = 12$.

Step2: Write factored form

Express the quadratic as a product of two binomials using the found numbers.

Answer:

$(x+4)(x+8)$