Classifying Different Types of Polynomials

Dr. Nelson introduces polynomials, explaining monomials, binomials, and trinomials. A monomial is a numeral, variable, or their product. Binomials are sums of two monomials, and trinomials are sums of three. The video includes examples and practice problems to classify expressions as monomials, binomials, or trinomials.

What is a polynomial?

• A single number

• A sum of monomials

• A product of variables

• A difference of binomials

Which of the following is a monomial?

• 5 + 2x

• 7y

• 4 - 2y

• 5x + 2y + 8

What is the definition of a monomial?

• A difference of two variables

• A sum of three monomials

• A product of a numeral and one or more variables

• A sum of two monomials

Which of the following is a binomial?

• 5x + 2y + 8

• 4 - 2y

• 7xyz

• 5x

How many monomials make up a binomial?

• Three

• Four

• Two

• One

Which of the following is a trinomial?

• 5x + 2y + 8

• 4 - 2y

• 5x

• 7y

How many monomials make up a trinomial?

• Four

• Three

• Two

• One

Classify the expression x^2 + 4.

• Monomial

• Binomial

• Trinomial

• Polynomial

Classify the expression 3x^2 + 5x + 11.

• Polynomial

• Trinomial

• Binomial

• Monomial

Classify the expression -3x - 7.

• Binomial

• Polynomial

• Monomial

• Trinomial