Question

Verify whether the values of $x$ given in each case are the zeroes of the polynomial or not?
$p\left(y\right)=y^2;y=0$

Answer 1

Given polynomial $p\left(y\right)=y^2$

Replace y by 0 we get

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

$\Rightarrow p\left(0\right)=0$

Then polynomial $p\left(y\right)=y^2$ is zero for value y=0

So polynomial $p\left(y\right)=y^2$ is zero polynomial for value y=0