Classify a polynomial then determining if it is a polynomial or not

The video tutorial explains how to classify polynomials by determining the leading coefficient and degree. It outlines the rules for identifying monomials, emphasizing the absence of negative exponents, variables in the denominator, and variable multiplication. The tutorial also discusses the impact of rational powers and roots on polynomial classification, concluding that polynomials with rational powers cannot be classified as true polynomials.

What is the first step in classifying a polynomial?

• Identify the leading coefficient

• Check for negative exponents

• Determine the number of terms

• Calculate the degree

Why can't a polynomial have variables in the denominator?

• It makes the expression undefined

• It results in negative exponents

• It changes the leading coefficient

• It increases the degree

Which of the following is not allowed in a monomial?

• Variables with integer coefficients

• Variables multiplied by each other

• Variables with positive exponents

• Variables with rational powers

What is the result of having a square root of a variable in a polynomial?

• It becomes a monomial

• It remains a polynomial

• It is no longer a polynomial

• It increases the degree

What happens if a polynomial has rational powers?

• It is not considered a polynomial

• It is classified as a polynomial

• It has a higher degree

• It can be simplified to a monomial