$\sqrt{2}$ is a polynomial of degree

Find the zero of the polynomial in each of the following cases

$p(x)=\frac{2}{3} x+\frac{5}{4}$

Check whether $p(x)$ is a multiple of $g(x)$ or not, where

$p(x)=x^{3}-x+1, \quad g(x)=2-3 x$

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

$x+6$

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

$x=-2$

Find $p(-2)$ for the polynomial $p(x)=5 x^{2}-11 x+3$