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

$p(x)=x^{3}-7 x^{2}+14 x-8$

By remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where

$p(x)=x^{3}-3 x^{2}+4 x+50, g(x)=x-3$

Factorise the following quadratic polynomials by splitting the middle term

$15 x^{2}+7 x-2$

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

$2 x+1$

Factorise

$16 x^{2}+40 x y+25 y^{2}$