Classify the following polynomials as polynomials in one variable, two variables etc.
$x^{2}-2 x y+y^{2}+1$
$x^{2}-2 x y+y^{2}+1$ is a polynomial in three variable.
$x y+y z+z x$
Without actual division, prove that $2 x^{4}-5 x^{3}+2 x^{2}-x+2$ is divisible by $x^{2}-3 x+2$
The degree of polynomial $7 x^{5}-4 x^{4}+2\left(x^{3}\right)^{2}-x^{2}+35$ is $\ldots \ldots \ldots$
Factorise :
$3 x^{3}-x^{2}-3 x+1$
Check whether the polynomial
$p(x)=x^{3}+9 x^{2}+26 x+24$ is a multiple of $x+2$ or not.
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