#### Answer

Yes

#### Work Step by Step

It is a polynomial since the coefficients of each term are real numbers and also the power of each variable in each term is a non-negative integer. Look at the definition of a polynomial given on page 28.
A polynomial is said to be in standard form if each of the terms is written such that the degrees of each term are in descending order. $\frac{x^2}{2}+x -\frac{3}{2}$