### Home > INT3 > Chapter 8 > Lesson 8.2.1 > Problem8-66

8-66.

Decide if each of the following functions is a polynomial function. If it is, state the degree. If it is not, explain how you know.

1. $f\left(x\right) = 3x^{3} – 2x + 5$

Review the Math Notes boxes in Lessons 1.1.4 and 8.1.1.

1. $y = 0.25x^{7} – 5x$

Yes; degree $7$

1. $y = 3^{x} – x^{2}$

No; it contains an exponent of $x$.

1. $f(x)=x^2-\sqrt{x}+2$

The exponents must be whole numbers. What is the exponent of a square root?

1. $Q\left(x\right) = 3\left(x – 4\right)^{2}\left(x + 2\right)$

If you were to expand and simplify, what would be the highest power of $x$?

1. $y=x^2-3x+5-\frac{2}{x-2}$