ACT SAT Prep How to determine the number of intercepts of a polynomial factored

The video tutorial explains how to determine the number of times a polynomial graph intersects the X-axis. It uses a quadratic example, y = X^2 - 4, to demonstrate the process of finding intersection points by setting Y to zero. The tutorial covers factoring techniques to find roots and concludes by applying these methods to solve the original problem, identifying five X-intercepts.

What is the main focus of the problem introduced in the video?

• Identifying the maximum point of a polynomial graph

• Calculating the slope of a polynomial graph

• Determining the number of times a polynomial graph intersects the X-axis

• Finding the Y-intercepts of a polynomial graph

In the quadratic example, what transformation is applied to the graph of y = X^2?

• The graph is shifted up by 4 units

• The graph is shifted down by 4 units

• The graph is shifted left by 4 units

• The graph is shifted right by 4 units

What is the Y-coordinate of the points where a graph intersects the X-axis?

• -1

• 0

• 2

• 1

Which method is used to find the X-intercepts of the quadratic equation in the example?

• Factoring

• Graphing

• Completing the square

• Using the quadratic formula

What term is used to describe the X-intercepts of a polynomial?

• Coefficient

• Root

• Slope

• Vertex