Solution
A polynomial is a mathematical expression that consists of a variable or a couple of variables with whole-number degrees (or exponents) expressed as a product with real number coefficients. Examples of polynomials are:
![\begin{gathered} xy+5y+x^2+\sqrt[]{7}y \\ x^2+5x+4 \\ y+x(x+y) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/fwqjzm29jjgh7m79nslvp6kheadsckcqwi.png)
Examples of non-polynomials are:
![\begin{gathered} x^{\sqrt[]{5}} \\ (x)/(y)+8x \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ri3cp6zbgmtvrtybteciq3z4wn1ztiybpj.png)