Tutorial - Detrmining the Leading coefficient and degree of a polynomial with a fraction ex 14

The video tutorial explains how to classify a polynomial and determine its leading coefficient and degree. It begins by identifying the polynomial's terms and arranging them in descending order of exponents. The leading coefficient is identified as the coefficient of the term with the highest power. The degree of the polynomial is the power of this leading term. The tutorial emphasizes that the process remains consistent regardless of the coefficient's form, even if it is a fraction.

What is the classification of the given polynomial expression?

• Polynomial with four terms

• Polynomial with three terms

• Polynomial with five terms

• Polynomial with two terms

How should the terms of a polynomial be arranged to determine the leading coefficient?

• In alphabetical order

• In ascending order of exponents

• In random order

• In descending order of exponents

What is the leading coefficient of the polynomial?

• 10

• 7

• 7/2

• 2

What is the degree of the polynomial discussed?

• 9

• 2

• 4

• 3

What does the degree of a polynomial represent?

• The highest power of the variable in the polynomial

• The number of terms in the polynomial

• The constant term in the polynomial

• The sum of all coefficients