Classifying Polynomials by Degree and Terms

The video tutorial explains how to classify polynomials based on their degree and the number of terms. It begins with an introduction to polynomials, defining them as monomials or sums/differences of monomials. The tutorial then details how polynomials are named according to their degree, which is determined by the highest exponent of the variable. Examples are provided for constants, linear, quadratic, and cubic polynomials. The video also covers classification by the number of terms, explaining monomials, binomials, trinomials, and polynomials with four or more terms. Finally, the tutorial includes examples to illustrate these classifications.

What is the highest exponent in a polynomial called?

• Coefficient

• Variable

• Degree

• Term

What do we call a polynomial with a degree of zero?

• Cubic

• Constant

• Quadratic

• Linear

Which of the following is an example of a linear polynomial?

• x^2 + 3x + 2

• 3x + 5

• 4x^3 + x^2 + 2

• 7

How many terms does a binomial have?

• Four

• Three

• Two

• One

Which of the following is a trinomial?

• 3

• 7x^3 + 5x^2 + 2x + 1

• 5x^2 + 2x + 1

• 2x + 1

What is the degree of the polynomial 4x^2 + x + 3?

• 3

• 1

• 0

• 2

How would you classify the polynomial 6x?

• Quadratic Monomial

• Cubic Monomial

• Constant Monomial

• Linear Monomial

What type of polynomial is represented by the number 2?

• Cubic Monomial

• Constant Monomial

• Quadratic Monomial

• Linear Monomial

What is the degree of the polynomial x^3 - 7x^2?

• 2

• 3

• 4

• 1

How many terms are in the polynomial x^3 - 7x^2?

• Four

• Two

• One

• Three