If $x+2$ is a factor of $x^{3}+a x^{2}-x+30,$ find the value of $a$.
Write the degree of each of the following polynomials
$a x^{3}+b x^{2}+c x+d$
If $p(x)=x^{4}-2 x^{3}+3 x^{2}-a x+3 a-7$ is divided by $(x+1),$ then the remainder is $19 .$ Find the value of a. Also, find the remainder, when $p(x)$ is divided by $(x+2)$
Factorise $: 121 x^{2}-289 y^{2}$
Write the coefficient of $x^{2}$ in the following polynomials
$5-7 x-3 x^{2}$