Factorise the following quadratic polynomials by splitting the middle term

$x^{2}+14 x+33$

Factorise

$x^{2}+9 y^{2}+4+6 x y+12 y+4 x$

Find the quotient and the remainder when $x^{3}+x^{2}-10 x+8$ is divided by

$x-1$

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x+4$

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

$2+x$