Classify and determine the leading coefficient and degree of a polynomiall

The video tutorial explains how to classify polynomials by identifying their leading coefficient, degree, and terms. It begins by determining if an expression is a polynomial, ensuring there are no roots, rational exponents, or negative exponents. The tutorial then demonstrates how to rewrite polynomials in descending order, starting with the highest power. It further explains how to determine the degree and leading coefficient from the leading term. Finally, it classifies polynomials based on their degree and the number of terms, using a quartic polynomial as an example.

Which of the following is NOT a characteristic of a polynomial?

• Has no negative exponents

• Variables are not multiplied together

• Contains a square root

• Does not have rational exponents

What is the correct order to write a polynomial in descending order?

• From the lowest to the highest power

• From the highest to the lowest power

• In alphabetical order of variables

• In order of increasing coefficients

In the polynomial Y = -5X^4 + 2X^3 + 4X^2 - X + 3, what is the leading term?

• -X

• -5X^4

• 2X^3

• 4X^2

What is the degree of the polynomial Y = -5X^4 + 2X^3 + 4X^2 - X + 3?

• 1

• 2

• 4

• 3

How many terms does the polynomial Y = -5X^4 + 2X^3 + 4X^2 - X + 3 have?

• 3

• 4

• 6

• 5