The polynomial $p(x)=x^{4}-2 x^{3}+3 x^{2}-a x+3 a-7$ when divided by $x+1$ leaves the remainder $19 .$ Find the values of $a .$ Also find the remainder when $p(x)$ is divided by $x+2.$
Factorise the following:
$9 y^{2}-66 y z+121 z^{2}$
Factorise
$\frac{4 x^{2}}{9}-\frac{1}{25}$
Classify the following polynomials as polynomials in one variable, two variables etc.
$x^{2}-2 x y+y^{2}+1$
Factorise
$49 x^{2}-35 x+6$