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.

What makes the expression π * X to the 4th plus sqrt 6 a polynomial?

• It has only rational coefficients.

• It has irrational coefficients but rational degrees.

• It is a linear expression.

• It is a quadratic expression.

Which of the following is true about the coefficients in a polynomial?

• They must be whole numbers.

• They must be integers.

• They can be irrational as long as the degrees are rational.

• They must always be rational numbers.

What is the degree of the polynomial π * X to the 4th plus sqrt 6?

• 3

• 5

• 2

• 4

What is the leading coefficient of the polynomial π * X to the 4th plus sqrt 6?

• π

• 0

• sqrt 6

• 1

How is the polynomial π * X to the 4th plus sqrt 6 classified?

• Cubic

• Quartic

• Quadratic

• Linear