Factorise
$x^{2}+4 y^{2}+25 z^{2}+4 x y-20 y z-10 z x$
$(x+2 y-5 z)(x+2 y-5 z)$
Expand
$(3 x-1)(3 x+4)$
$(11 x+18)(11 x-18)$
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 the zero of the polynomial in each of the following cases
$p(t)=7 t-21$
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
$x+6$
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