What is the degree of the polynomial function f(x) = 2x³ + 7x⁵ - 4x - 12?

Solution:

The given polynomial function is

f(x) = 2x³ + 7x⁵ - 4x - 12

By rearranging it in standard form

f(x) = 7x⁵ + 2x³ - 4x - 12

We know that the highest exponent of the polynomial is the degree of the polynomial.

Degree = highest exponent

Here the highest exponent is 5.

Therefore, the degree of the polynomial function is 5.

What is the degree of the polynomial function f(x) = 2x³ + 7x⁵ - 4x - 12?

Summary:

The degree of the polynomial function f(x) = 2x³ + 7x⁵ - 4x - 12 is 5.