# How do you factor #x^3+7x^2+14x+8#?

##### 2 Answers

Mar 5, 2018

#### Explanation:

Identity:

Identity:

~Hope this helps! :)

Mar 5, 2018

(x + 1)(x + 2)(x + 4)

#### Explanation:

First, we note that f(-1) = - 1 + 7 - 14 + 8 = 0.

So, one factor is (x - 1).

After division, or guest -->

Find 2 numbers knowing the sum (6) and the product (8). They are 2 and 4. Finally,

f(x) = (x + 1)(x + 2)(x + 4)