Question

Verify whether the indicated numbers are zeros of the polynomials corresponding to them in the following cases:

(vi) $f\left(x\right)=x^2,x=0$

Answer 1

Given : $f\left(x\right)=x^2,x=0$

We know that if $f\left(a\right)=0;$ then $a$ is the zero of the polynomial $f\left(x\right)$.

$\therefore f\left(0\right)=(0{)}^2=0$

$\because f\left(0\right)=0$

Hence, $x=0$ is the zero of $f\left(x\right)=x^2,$ verified.