The degree of polynomial $7 x^{5}-4 x^{4}+2\left(x^{3}\right)^{2}-x^{2}+35$ is $\ldots \ldots \ldots$
$8$
$4$
$6$
$2$
Which of the following expressions are polynomials in one variable and which are not $?$ State reason for your answer. If the given expression is a polynomial, state whether it is a polynomial in one variable or not
$x^{3}+y^{3}+z^{3}-3 x y z$
Factorise
$8 x^{3}-26 x^{2}+13 x+5$
By remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where
$p(x)=x^{3}-3 x^{2}+4 x+50, g(x)=x-3$
Factorise :
$6 x^{2}+7 x-3$
Without finding the cubes, factorise $(x-y)^{3}+(y-z)^{3}+(z-x)^{3} .$
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