# How do you factor x^3 - 2x^2 - 35x?

Apr 8, 2018

$x \left(x - 7\right) \left(x + 5\right)$

#### Explanation:

First, factor out the GCF (x)

$x \left({x}^{2} - 2 x - 35\right) \rightarrow$ Now you can use several different methods to factor the ${x}^{2} - 2 x - 35$. You can use the "big X" method, the quadratic formula, or graphing.

Here I'll use the "big X" method.

Quadratic equation form: $a {x}^{2} + b x + c$

Big X method: find two numbers that multiply to $a \cdot c$, in this case -35 ($1 \cdot - 35$) and add up to $b$, in this case $- 2$.

$- 7 \cdot 5 = - 35$

$- 7 + 5 = - 2$

The two numbers are -7 and 5

${x}^{2} - 2 x - 35$ can be factored to $\left(x - 7\right) \left(x + 5\right)$

$x \left(x - 7\right) \left(x + 5\right)$

Apr 8, 2018

$x$($x - 7$)($x + 5$)

#### Explanation:

you take the $x$ as a common factor to be:
$x$(${x}^{2} - 2 x - 35$)=0
then factor out what's between the brackets:
$x$($x - 7$)($x + 5$)