Graph Behavior and Polynomial Properties

The video tutorial explains how to graph a polynomial in factored form, focusing on identifying the degree, zeros, and the concept of multiplicity. It discusses how multiplicity affects the graph's behavior, particularly at points where the graph bounces off the x-axis. The tutorial also covers end behavior, sketching the graph, and marking maxima and minima, providing coordinates for these points. The importance of understanding multiplicity and its impact on graphing is emphasized throughout.

What is the degree of the polynomial discussed in the video?

• 3

• 4

• 6

• 5

How many zeros does the polynomial have?

• 5

• 4

• 3

• 6

What is the opposite of the zero at -3?

• 5

• 3

• -3

• 0

Which of the following is not a zero of the polynomial?

• 0

• 4

• -2

• 3

What is the opposite of the zero at 5?

• 0

• 5

• -5

• -3

What is the term used to describe a squared factor in a polynomial?

• Coefficient

• Multiplicity

• Zero

• Degree

What effect does a multiplicity of 2 have on the graph?

• Goes straight down

• Goes straight up

• Bounces off the x-axis

• Passes through the x-axis

What is the effect of a zero with a multiplicity greater than 1?

• Graph splits

• Graph stays constant

• Graph passes through

• Graph bounces off

What is the end behavior of a negative odd degree polynomial?

• Left end up, right end down

• Both ends down

• Both ends up

• Left end down, right end up

What does the negative sign in the leading coefficient indicate about the graph's direction?

• Graph stays constant

• Graph goes down

• Graph oscillates

• Graph goes up