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

$p(x)=x^{3}-6 x^{2}+2 x-4, \quad g(x)=1-\frac{3}{2} x$

Find $p(0), p(1), p(-2)$ for the following polynomials:

$p(y)=(y+2)(y-2)$

Write the following cubes in expanded form

$(2 a-5 b)^{3}$

By acute division, find the quotient and the remainder when the first polynomial is divided by the second polynomial: $x^{4}+1 ; x+1$

Write whether the following statements are True or False. Justify your answer.

$\frac{1}{\sqrt{5}} x^{\frac{1}{2}}+1$ is a polynomial

If $x+3$ is a factor of $x^{3}+12 x^{2}+a x+60$ then $a=\ldots \ldots \ldots$