Naming Polynomials and Analyzing End Behavior

This video tutorial covers the basics of naming and understanding polynomials, including terms, degrees, and standard form. It explains how to classify polynomials by the number of terms and degree, and introduces the concept of end behavior using limit notation. The tutorial also discusses the importance of the leading term and coefficient in determining the polynomial's behavior.

What is a term in the context of polynomials?

• A combination of numbers and variables

• A single number

• A single variable

• A combination of variables only

How many terms does a binomial have?

• Four

• Three

• One

• Two

What is the degree of a polynomial?

• The sum of all exponents in the polynomial

• The smallest exponent of the variable

• The number of terms in the polynomial

• The largest whole number exponent of the variable

What is the standard form of a polynomial?

• When the terms are written in ascending order of their degrees

• When the terms are written in descending order of their degrees

• When the terms are written in alphabetical order

• When the terms are written in random order

What is the leading term of a polynomial?

• The term with the smallest exponent

• The term with the largest coefficient

• The first term when the polynomial is written in standard form

• The last term when the polynomial is written in standard form

What does end behavior describe in a polynomial function?

• The behavior of the function on the far left and right of the graph

• The behavior of the function in the middle

• The behavior of the function at the origin

• The behavior of the function at its maximum and minimum points

What is the end behavior of a polynomial with a positive leading coefficient and an even degree?

• Down on both sides

• Up on both sides

• Down on the left and up on the right

• Up on the left and down on the right

What is the end behavior of a polynomial with a negative leading coefficient and an even degree?

• Up on the left and down on the right

• Up on both sides

• Down on the left and up on the right

• Down on both sides

What is the end behavior of a polynomial with a positive leading coefficient and an odd degree?

• Down on both sides

• Up on the left and down on the right

• Down on the left and up on the right

• Up on both sides

What is the end behavior of a polynomial with a negative leading coefficient and an odd degree?

• Up on the left and down on the right

• Down on the left and up on the right

• Up on both sides

• Down on both sides