Question

level k 〉 x.5 factor quadratics with leading co you have prizes to reveal! go
factor.
$q^{2}+3q + 2$

Explanation:

Step1: Find pair summing to 3, product 2

The pair is 1 and 2, since $1+2=3$ and $1\times2=2$.

Step2: Split middle term and factor

Rewrite $3q$ as $q+2q$, then factor by grouping:

$$\begin{align*} q^2 + 3q + 2 &= q^2 + q + 2q + 2\\ &= q(q+1) + 2(q+1)\\ &= (q+1)(q+2) \end{align*}$$

Answer:

$(q+1)(q+2)$