Question

Find the zeroes of the polynomial $p\left(x\right)=x^3-x$.

Answer 1

The zeroes of the polynomial are the values of x when $p\left(x\right)=0$

$\Rightarrow$ $x^3-x=0$

$\Rightarrow$ $x(x^2-1)=0$

$\Rightarrow$$x(x-1)(x+1)=0$

$\Rightarrow$$x=0,1,-1$

Hence zeroes of $p\left(x\right)$ are $0,1,-1$.