Answer
$(x-5)(x-3)$
Work Step by Step
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 $c=15$.
Note that $15=-5(-3)$ and $-5+(-3)=-8$, the middle term's coefficient.
Thus, the factored form of the trinomial is
$(x-5)(x-3).$
