Factorise
$8 x^{3}+27 y^{3}+125 z^{3}-90 x y z$
$(2 x+3 y+5 z)\left(4 x^{2}+9 y^{2}+25 z^{2}-6 x y\right.$$-15 y z-10 z x)$
Find the zero of the polynomial $p(x)=5 x-8$.
Write the degree of each of the following polynomials
$x^{8}-6561$
If $a+b+c=5$ and $a b+b c+c a=10,$ then prove that $a^{3}+b^{3}+c^{3}-3 a b c=-25.$
$25 x^{2}+25 x+6$
From the following polynomials find out which of them has $(x+1)$ as a factor
$x^{3}-2 x^{2}-5 x+6$
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