Question

Classify –6x^5 + 4x^3 + 3x^2 + 11 by degree.

Answer 1

Polynomial Functions

1. A) Quintic

2. B)
`-8x^5+10x^4`

3. C) The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.

4. Graph A.

5. Graph A.

Confirmed 5-5 as of 12.6.22.

Hope this helps, and good luck!

Answer 2

The degree of a polynomial can be obtained by looking at the highest exponent value among the terms in the polynomial. In this case, the term with the highest exponent value would be -6x^5. Therefore, the degree of the polynomial is 5. Given this, the polynomial is considered to be a quintic polynomial.