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
$\pi x^{2}-\sqrt{3} x+11$
Given expression $\pi x^{2}-\sqrt{3} x+11$ is a polynomial because the exponent of variable $x$ in each of its terms is an integer, viz., $2,1$ and $0$ respectively. The given polynomial is a polynomial in one variable $x$.
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
$x^{2}+x-3+\frac{4}{x}$
Write the degree of the following polynomials
$5$
Write the coefficients of $x^{2}$ in each of the following polynomials
$4+7 x+3 x^{2}$
Find $p(0), p(1), p(-2)$ for the following polynomials:
$p(x)=10 x-4 x^{2}-3$
The following expressions are polynomials? Justify your answer:
$\frac{1}{2 x}$