Factorise the following quadratic polynomials by splitting the middle term

$12 x^{2}+23 x+5$

Find $p(1), p(2)$ and $p(4)$ for each of the following polynomials

$p(x)=x^{3}+9 x^{2}+23 x+15$

Dividing $p(x)=x^{2}+12 x+36$ by $(x+5)$ the remainder is…….

Factorise the following:

$9 x^{2}-12 x+3$

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

$x^{2}+x+1$