Analyzing Polynomial Functions

The video tutorial explains how to analyze a polynomial that is already factored. It focuses on finding the zeros of the polynomial and graphing it to identify where it crosses the x-axis. The tutorial then guides viewers on how to determine positive and negative intervals on the graph, emphasizing the importance of understanding these intervals in relation to the x-axis.

What is the main focus of the lesson?

• Learning how to factor polynomials

• Finding positive and negative intervals

• Solving linear equations

• Graphing linear functions

What is the first step in finding the zeros of the polynomial?

• Setting each factor equal to zero

• Graphing the polynomial

• Using a calculator

• Finding the derivative

What is one of the zeros of the polynomial?

• x = 1

• x = -2

• x = 0

• x = 5

At which x-value does the polynomial cross the x-axis?

• x = 5

• x = 3/2

• x = 2

• x = 1

What tool is used to visualize the polynomial?

• Calculator

• Graphing paper

• Desmos

• Excel

What color is used to graph the polynomial in the video?

• Red

• Yellow

• Blue

• Green

When x is less than -2, is the polynomial positive or negative?

• Positive

• Negative

• Zero

• Undefined

Between which intervals is the polynomial positive?

• Between 0 and 2

• Between -2 and 3/2

• Between 3/2 and 4

• Between -2 and 4

When x is greater than 4, is the polynomial positive or negative?

• Undefined

• Zero

• Negative

• Positive

What is the sign of the polynomial between 3/2 and 4?

• Positive

• Negative

• Undefined

• Zero