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

$x=\frac{1}{2}$

Which of the following expressions is a polynomial, state the reason ? If an expression is polynomial, state whether it is a polynomial in one variable or not

$x^{2}-15 x+50$

Factorise

$\frac{4 x^{2}}{9}-\frac{x}{3}+\frac{1}{16}$

With the help of the remainder theorem. find the remainder when the polynomial $x^{3}+7 x^{2}+17 x+25$ is divided by $x+4$

The factorisation of $4 x^{2}+8 x+3$ is

Factorise :

$2 x^{3}-3 x^{2}-17 x+30$