# How do you find the degree of  F(x) = 5 + 2x + 3x^2 + 4x^3?

Oct 14, 2015

This is a $\text{3rd}$ degree equation.

#### Explanation:

$f \left(x\right) = 5 + 2 x + 3 {x}^{2} + 4 {x}^{3}$

Arrange the terms in descending order of power.

$f \left(x\right) = 4 {x}^{3} + 3 {x}^{2} + 2 x + 5$

The degree of the equation refers to the highest power (exponent).

The term $4 {x}^{3}$ has the highest power, which is $3$, so this is a $\text{3rd}$ degree equation.