Question

Which of the following is a eight degree polynomial function. Select all that apply.

Answer 1

A, C

Explanation:

A. When you square the binomial, the highest power will be 8, so choice A is true.

B. A rational expression is not a polynomial.

C. The highest exponent is 8, so this is an answer also.

D. This is a 7th degree polynomial, so it is not 8th degree.

Answer: A, C

Answer 2

f(x) = (x^4 + x)^2 and f(x) = 10x - x^8

Explanation:

The degree of a polynomial is the highest power present in the function.

For
`f(x) = (x^4 + x)^2`,

the degree of the polynomial is 8 since
`(x^4)^2 = x^8`

For
`(1)/(x^8 - 64)`,

the degree of the polynomial is -8.

For
`f(x) = 10x - x^8`,

the degree of the polynomial is 8.

For
`f(x) = x^7 + 8x - 1`,

the degree of the polynomial is 7.