Find the degree of the polynomials given : $2-y^{2}-y^{3}+2 y^{8}$
$5$
$8$
$0$
$2$
The highest power of the variable is $8 .$ So, the degree of the polynomial is $8$ .
Factorise of the following : $27 y^{3}+125 z^{3}$
Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases : $p(x)=2 x^{3}+x^{2}-2 x-1$, $g(x)=x+1$.
Find the following products using appropriate identities :
$(i) $ $ (x + 3) (x + 3)$
$(ii)$ $(x -3) (x + 5)$
Find the value of the polynomial $5x -4x^2+ 3$ at $x = 2$.
Write the following cubes in expanded form : $\left[\frac{3}{2} x+1\right]^{3}$
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