# How do you factor x^3+6x^2+3x-10?

Apr 10, 2016

y = (x - 1)(x + 2)(x + 5)

#### Explanation:

Since a + b + c + d = 0, f(1) = 0. One factor is (x - 1).
After division -->
$y = \left(x - 1\right) \left({x}^{2} + 7 x + 10\right)$
The trinomial in parentheses can be factored
Find 2 numbers knowing sum (7) and product (10). They are 2 and 5.
${x}^{2} + 7 x + 10 = \left(x + 2\right) \left(x + 5\right)$
$y = \left(x - 1\right) \left(x + 2\right) \left(x + 5\right)$