Find the zero of the polynomial : $p(x) = x -5$
Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=k x^{2}-3 x+k$
Verify whether $2$ and $0$ are zeroes of the polynomial $x^{2}-2 x$.
Find the value of each of the following polynomials at the indicated value of variables : $p(t)=4 t^{4}+5 t^{3}-t^{2}+6$ at $t=a$.
Verify : $x^{3}-y^{3}=(x-y)\left(x^{2}+x y+y^{2}\right)$