What exactly is a polynomial

The video tutorial explains the concept of monomials, providing examples such as the number 3, negative X to the 7th, and two X squared. It then discusses what cannot be considered monomials, such as expressions with rational exponents, negative exponents, or multiple variables multiplied together. The tutorial concludes with a formal definition of monomials as the product of a number and a variable, emphasizing the restrictions on exponents and variable combinations.

Which of the following is an example of a monomial?

• 3 + X

• X + Y

• 2X^2

• X^2 * Y

Why is X^(1/2) not considered a monomial?

• It has a negative exponent

• It has a rational exponent

• It is a product of two variables

• It is a sum of terms

Which of the following expressions is not a monomial due to its exponent?

• X^(-2)

• 5

• 2X

• X^3

What is a key characteristic of a monomial?

• It can have a negative exponent

• It can have multiple variables multiplied together

• It can have a variable raised to a rational exponent

• It is the product of a number and a single variable

Which of the following is not a monomial?

• X^2 * Y

• 3X

• 5

• X^3