Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by

$x-2$

Classify the following polynomials as polynomials in one variable, two variables etc.

$x^{2}+x+1$

Classify the following as a constant, linear,quadratic and cubic polynomials:

$4-5 y^{2}$

If $p(-3)=0,$ then one of the factors of $p(x)$ is.........

Find the value of the polynomial $x^{2}-7 x+12$ at.

$x=4$

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 $x+2.$