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 $x$.
Without actual division, prove that $2 x^{4}-5 x^{3}+2 x^{2}-x+2$ is divisible by $x^{2}-3 x+2$
Classify the following as a constant, linear,quadratic and cubic polynomials:
$3 x^{3}$
If $x+5$ is a factor of $x^{3}+13 x^{2}+a x+35$ find the value of $a$.
Find the zeroes of the polynomial:
$p(x)=(x-2)^{2}-(x+2)^{2}$
From the following polynomials find out which of them has $(x+1)$ as a factor
$x^{3}-2 x^{2}-5 x+6$