Question

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

Answer 1

IF f(x) = 2x3 + 7x5 − 4x − 12 << not written to standards
IS f(x) = 7x^5 +2x^3− 4x − 12
x is to the 5th power
then 5

Answer 2

degree of the polynomial is 5.

Explanation:

We have been given the polynomial
`f(x)=2x^3+7x^5-4x-12`

We can rearrange the polynomial and write in standard form as

`f(x)=7x^5+2x^3-4x-12`

For the degree of the polynomial we see the highest exponent of the polynomial.

Degree = highest exponent

The highest exponent of the polynomial is 5.

Therefore, the degree of the polynomial is 5.