Classify a polynomial and determine degree and leading coefficient

The video tutorial discusses the challenges of working with fractions and explains why certain expressions cannot be classified as polynomials. It highlights the issue of negative exponents and variables in the denominator, which disqualify an expression from being a polynomial.

What is the initial step in writing a polynomial in order?

• Identify the highest exponent

• List terms alphabetically

• Remove negative signs

• Convert all fractions to decimals

Why can't a term with a negative exponent be part of a polynomial?

• It simplifies to zero

• It makes the polynomial undefined

• It increases the degree of the polynomial

• It results in a variable in the denominator

What does X to the negative third power represent?

• X cubed

• 1 divided by X cubed

• X squared

• 1 divided by X squared

Why is the expression discussed not classified as a polynomial?

• It is not in standard form

• It contains a fraction

• It has a negative exponent

• It includes a constant term

What is a key restriction for a polynomial function?

• It should only contain even exponents

• It cannot have variables in the denominator

• It must have at least one negative exponent

• It must be a quadratic equation