Question

question
factor.
$x^2 + 13x + 36$

Explanation:

Step1: Find pair summing to 13, product 36

Identify two numbers: $4$ and $9$, since $4+9=13$ and $4 \times 9=36$.

Step2: Split middle term and factor

Rewrite the quadratic and factor by grouping:

$$\begin{align*} x^2 + 13x + 36 &= x^2 + 4x + 9x + 36 \\ &= x(x+4) + 9(x+4) \\ &= (x+4)(x+9) \end{align*}$$

Answer:

$(x+4)(x+9)$