Question

Find the number of real zeros of the following polynomial $p\left(x\right)=x^2-2x$

Answer 1

To find the zeroes of the given polynomial $p\left(x\right)=x^2-2x$, let us factorize it by equating it to zero as shown below:

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

Therefore, the zeroes of the polynomial are $0$ and $2$ and they both are real numbers.

Hence, the number of real zeroes of the polynomial $p\left(x\right)=x^2-2x$ is $2$.