If $x-2$ is a factor of $x^{3}-3 x^{2}+a x+24$ then $a=\ldots \ldots \ldots$
Write whether the following statements are True or False. Justify your answer.
$\frac{1}{\sqrt{5}} x^{\frac{1}{2}}+1$ is a polynomial
Factorise the following quadratic polynomials by splitting the middle term
$6 x^{2}+19 x+10$
Factorise the following:
$1-64 a^{3}-12 a+48 a^{2}$
By remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where
$p(x)=x^{3}-6 x^{2}+2 x-4, \quad g(x)=1-\frac{3}{2} x$