## Precalculus (6th Edition) Blitzer

$(x+3)(x+2)$
RECALL: A quadratic trinomial $x^2+bx+c$ (with a leading coefficient of 1) can be factored as a product of two binomials if $c$ has factors $d$ and $e$ whose sum is equal to the coefficient of the middle term ($b$). The factored form of the trinomial is $(x+d)(x+e)$. Example: $x^2+3x+2$ can be factored as a product of two binomials since $2=2(1)$ and $2+1=3$, the middle term's coefficient. The given trinomial has a leading coefficient of 1 and has $c=6$. Note that $6=3(2)$ and $3+2=5$, the middle term's coefficient. Thus, the factored form of the trinomial is $(x+3)(x+2)$.