Classify a polynomial and determine degree and leading coefficient

The video tutorial explains that a polynomial can have irrational coefficients, such as π and sqrt 6, and still be considered a polynomial as long as the degrees are rational. It describes a polynomial in descending order, identifying its degree as four and the leading coefficient as π, classifying it as a quartic polynomial function.

Discuss the significance of having rational numbers as coefficients in a polynomial.

Identify the leading coefficient of the polynomial from the text.