Question

factor.
$u^{2}+13u + 22$

Explanation:

Step1: Find two factors of 22

We need two numbers that multiply to $22$ and add to $13$. These numbers are $11$ and $2$, since $11 \times 2 = 22$ and $11 + 2 = 13$.

Step2: Write factored quadratic form

Express the quadratic as a product of two binomials using the found factors.
$u^2 + 13u + 22 = (u + 11)(u + 2)$

Answer:

$(u + 11)(u + 2)$