Question

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

Answer 1

`x=0 , x=+-1`

Explanation:

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

That is `4x^3-4x=0`

Factorising gives.

`4x(x^2-1)=0rArr4x(x-1)(x+1)=0`

solving for x.

`rArrx=0,x=+-1" are the zeroes"`