# How do you use find the zeroes of f(x)=4x^3-4x?

Sep 15, 2016

$x = 0 , x = \pm 1$

#### Explanation:

The zeroes of f(x) are the values of x that make f(x) = 0

That is $4 {x}^{3} - 4 x = 0$

Factorising gives.

$4 x \left({x}^{2} - 1\right) = 0 \Rightarrow 4 x \left(x - 1\right) \left(x + 1\right) = 0$

solving for x.

$\Rightarrow x = 0 , x = \pm 1 \text{ are the zeroes}$