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
$x^{2}+x-3+\frac{4}{x}$
Given expression $x^{2}+x-3+\frac{4}{x}$ is not a polynomial because the index of $x$ in the fourth term $\frac{4}{x}$ is $-1$
Factorise
$16 x^{2}-40 x y+25 y^{2}$
Find the value of each of the following polynomials at the indicated value of variables
$q(y)=5 y^{3}-4 y^{2}+14 y-\sqrt{3}$ at $y=2$
Factorise
$8 x^{3}+27 y^{3}+125 z^{3}-90 x y z$
By using the factor theorem, show that $(x+2)$ is a factor of the polynomial $6 x^{3}+19 x^{2}+16 x+4$ and then factorise $6 x^{3}+19 x^{2}+16 x+4$
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
$x^{2}+2 x y+y^{2}$