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
$5 x^{2}-7 x+3 \sqrt{x}$
Given expression $5 x^{2}-7 x+3 \sqrt{x}$ is not a polynomial because in term $3 \sqrt{x}=3 x^{\frac{1}{2}}$ the exponent of $x$ is a fractional number.
Find the value of the polynomial $x^{2}-7 x+12$ at.
$x=\frac{1}{2}$
What are the possible expressions for the dimensions of a cuboid whose volume is given as $\left(2 x^{3}+15 x^{2}+33 x+20\right)$ cubic units? $(x>0)$
If $x+2 a$ is a factor of $x^{5}-4 a^{2} x^{3}+2 x+2 a+3,$ find $a$
Write whether the statement are True or False. Justify your answer.
Zero of a polynomial is always $0.$
Classify the following as linear, quadratic or cubic polynomial
$5 t+3$