What is the degree of the polynomial function f(x) = 2x3 + 7x5 − 4x − 12?
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:
degree of the polynomial is 5.
Step-by-step 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.