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

$p(x)=4 x^{3}-12 x^{2}+14 x-3, g(x)=2 x-1$

Expand

$\left(x-\frac{1}{2}\right)^{2}$

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

$p(y)=y^{2}-5 y+4$

Without actual division, prove that $2 x^{4}-5 x^{3}+2 x^{2}-x+2$ is divisible by $x^{2}-3 x+2$

Degree of the polynomial $4 x^{4}+0 x^{3}+0 x^{5}+5 x+7$ is