Classify 4x^5−7x^3−2x^2+6

The given expression is a polynomial with degree 5:

4x^5 − 7x^3 − 2x^2 + 6

Polynomials are classified based on their degree, which is the highest exponent of x in the expression. In this case, the highest exponent is 5, so the expression is classified as a quintic polynomial.