Understanding Polynomial Intercepts

The video tutorial explains how to find the intercepts of a polynomial function D of T = 8T^4 - 36T^3 - 22T^2. It covers the process of determining the D intercept by setting T to 0 and evaluating the function, resulting in the origin (0,0). The tutorial also details finding T intercepts by setting the function to zero and solving the equation through factoring, yielding intercepts at (0,0), (-1/2,0), and (5,0). The video concludes with a verification of these intercepts using graph analysis.

What is the polynomial function D of T given in the video?

• D of T = 8T^2 - 36T - 22

• D of T = 8T^4 - 36T^3 - 20T^2

• D of T = 8T^3 - 36T^2 - 22T

• D of T = 8T^4 - 36T^3 - 22T^2

What is the first step in finding the horizontal intercepts of a function?

• Set the function equal to zero and solve for Y

• Set the function equal to zero and solve for X

• Set X equal to zero and solve for the function

• Set Y equal to zero and solve for the function

How do you find the D intercept of the function D of T?

• Set D equal to zero and evaluate the function

• Set T equal to zero and solve for D

• Set T equal to zero and evaluate the function

• Set D equal to zero and solve for T

What is the D intercept of the function D of T?

• (1, 0)

• (1, 1)

• (0, 0)

• (0, 1)

What is the first step in finding the T intercepts of the function D of T?

• Set D of T equal to zero and solve for D

• Set T equal to zero and solve for T

• Set D of T equal to zero and solve for T

• Set T equal to zero and solve for D

What is the greatest common factor factored out from the equation 0 = 8T^4 - 36T^3 - 20T^2?

• T^2

• 8T^2

• 4T^2

• 2T^2

What are the T intercepts of the function D of T?

• (0, 0), (-1/2, 0), (-5, 0)

• (0, 0), (1/2, 0), (-5, 0)

• (0, 0), (1/2, 0), (5, 0)

• (0, 0), (-1/2, 0), (5, 0)

What is the purpose of analyzing the graph of the function?

• To solve for new variables

• To find new intercepts

• To verify the calculated intercepts

• To change the function

What is the significance of the point (0,0) in the context of the function D of T?

• It is a T intercept

• It is neither a D nor T intercept

• It is a D intercept

• It is both a D and T intercept

Why might the graph window not be ideal for viewing the intercepts?

• The intercepts are too close together

• The intercepts are not visible

• The intercepts are too far apart

• The intercepts are not calculated