Find the degree of the polynomials given : $x^{5}-x^{4}+3$
$5$
$4$
$3$
$2$
Expand each of the following, using suitable identities : $(-2 x+5 y-3 z)^{2}$
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 $t=a$.
Find the remainder when $x^4+x^3-2x^2+x+1$ is divided by $x -1$.
If $x+y+z=0,$ show that $x^{3}+y^{3}+z^{3}=3 x y z$.
Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x+1$