Find the degree of the polynomials given : $x^{5}-x^{4}+3$
$5$
$4$
$3$
$2$
The highest power of the variable is $5$. So, the degree of the polynomial is $5$ .
Factorise : $8 a^{3}+b^{3}+12 a^{2} b+6 a b^{2}$
Find the value of each of the following polynomials at the indicated value of variables : $p(t)=4 t^{4}+5 t^{3}-t^{2}+6$ at $t=a$.
Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x+1$
Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=k x^{2}-\sqrt{2} x+1$
Factorise of the following : $27 y^{3}+125 z^{3}$
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