Factorise
$x^{2}+\frac{y^{2}}{4}+\frac{z^{2}}{16}+x y+\frac{y z}{4}+\frac{z x}{2}$
$\left(x+\frac{1}{2} y+\frac{1}{4} z\right)\left(x+\frac{1}{2} y+\frac{1}{4} z\right)$
Find $p(1), p(2)$ and $p(4)$ for each of the following polynomials
$p(t)=t^{2}-6 t+8$
Factorise :
$6 x^{2}+7 x-3$
Factorise the following quadratic polynomials by splitting the middle term
$x^{2}-4 x-77$
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
$x-1$
The following expressions are polynomials? Justify your answer:
$1-\sqrt{5 x}$
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