Answer
$(n-5)(n+2)$
Work Step by Step
Factor and check your answer:
$n^{2}-3n-10$
rewrite:
$n^{2}-5n+2n-10$
Take out (n-5) from the first two and last two term:
$n(n-5)+2(n-5)$
Rewrite:
$(n-5)(n+2)$
Check answer:
$(n-5)(n+2)$
use foil
$(n\times n)+(n\times2)+(-5\times n)+(-5\times2)$
simplify:
$n^{2}+2n-5n-10$
simplify:
$n^{2}-3n-10$