# How do you find the degree of the polynomial function f(x)=-2x+7x^2?

Oct 28, 2015

It is a polynomial of 2nd degree.

#### Explanation:

A degree of a polynomial is the highest power of the variable with a non-zero coefficient next to it.

In this case $x$ is raised to 2nd power (with coefficient $+ 7$) and to the first power (with coefficient of $- 2$) so rhe highest power (i. e. the degree of the polynomial) is $2$