Expand
$\left(\frac{x}{2}+\frac{2 y}{3}-\frac{3 z}{4}\right)^{2}$
$\frac{1}{4} x^{2}+\frac{4}{9} y^{2}+\frac{9}{16} z^{2}+\frac{2}{3} x y-y z-\frac{3}{4} z x$
With the help of the remainder theorem. examine whether $x+2$ is a factor of the polynomial $x^{3}+9 x^{2}+26 x+24$ or not.
The following expressions are polynomials? Justify your answer:
$\sqrt{3} x^{2}-2 x$
Write the degree of each of the following polynomials
$a x^{3}+b x^{2}+c x+d$
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
$x-1$
Factorise the following:
$1-64 a^{3}-12 a+48 a^{2}$
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