The degree of polynomial $5 x^{2}-7 x-11$ is..........
$2$
$4$
$6$
$8$
If $a+b+c=9$ and $a b+b c+c a=26,$ find $a^{2}+b^{2}+c^{2}.$
Expand
$\left(\frac{x}{2}-\frac{2}{5}\right)^{2}$
On dividing $p(x)=2 x^{3}-3 x^{2}+a x-3 a+9$ by $(x+1),$ if the remainder is $16,$ then find the value of $a$. Then, find the remainder on dividing $p(x)$ by $x+2$
If $x+1$ is a factor of $a x^{3}+x^{2}-2 x+4 a-9,$ find the value of $a$.
Find the value of $a$, if $x-a$ is a factor of $x^{3}-a x^{2}+2 x+a-1$.