What is the definition of a polynomial with examples and non examples

The video tutorial explains the concept of polynomials, starting with the definition of monomials and how polynomials are formed as sums of monomials. It provides examples of polynomials, emphasizing that the number of terms does not matter as long as they are summed. The tutorial also clarifies that subtraction can be rewritten as addition. It highlights non-examples of polynomials, such as expressions with negative exponents or polynomials in the denominator, explaining why these do not qualify as polynomials.

What is a polynomial?

• A term with a negative exponent

• A single term or the sum of multiple terms

• A fraction with a polynomial in the denominator

• A constant number

Which of the following is an example of a polynomial?

• 3X to the -2

• 3X to the 4th + 2X^3 - 5

• 3 / X^2 + 2X

• X^2 / 3

How can subtraction be handled in polynomials?

• It cannot be used in polynomials

• It must be converted to division

• It should be ignored

• It can be rewritten as addition

Why can't a polynomial have a negative exponent?

• It makes the polynomial undefined

• It places the term in the denominator

• It turns the polynomial into a constant

• It changes the polynomial's degree

Which of the following is NOT a polynomial?

• 3 / X^2 + 2X

• X^3 + 2X - 5

• 3X^2 + 4X + 1

• 5X^4 - 3X^2 + 7