Question

$2x^{2}+7x+6$

Explanation:

Step1: Split middle term

Rewrite $7x$ as $4x + 3x$, since $2\times6=12$ and $4\times3=12$, $4+3=7$
$2x^2 + 4x + 3x + 6$

Step2: Group and factor pairs

Group first two and last two terms, factor GCF from each group
$2x(x + 2) + 3(x + 2)$

Step3: Factor out common binomial

Extract the shared $(x+2)$ factor
$(2x + 3)(x + 2)$

Answer:

$(2x + 3)(x + 2)$