The polynomial
p
(
x
)
=
2
x
3
−
x
2
−
25
x
−
12
p(x)=2x
3
−x
2
−25x−12p, left parenthesis, x, right parenthesis, equals, 2, x, cubed, minus, x, squared, minus, 25, x, minus, 12 has a known factor of
(
x
+
3
)
(x+3)left parenthesis, x, plus, 3, right parenthesis.
Rewrite
p
(
x
)
p(x)p, left parenthesis, x, right parenthesis as a product of linear factors.