Module 3: Polynomial Functions

 

 

Try This 3

 

This is a play button that opens Factored Form Explorer.



Open Factored Form Explorer again. Choose a polynomial of degree 5. Set the a slider to 0.5. Manipulate the values for b, c, d, e, and f to see what happens when two or more factors are the same. You may want to look at the number of x-intercepts and what happens in the vicinity of each x-intercept.

  1. Record your observations in a table similar to the one shown.

    Number of Factors that Are the Same Number of x-intercepts Sketch or Screen Capture of the Graph at the x-intercept of the Corresponding Repeated Factor Does the graph cross the x-axis at the x-intercept corresponding to the repeated factor?
    0 5 This shows a part of a polynomial function graph as it crosses the x-axis. yes
    2    
    3      
    4      
    5      
  2. Summarize the relationship between the number of repeating factors and the behaviour of the graph at the corresponding x-intercept.

course folder Save your responses in your course folder.

The shape would look similar to this, but the x-intercepts will vary.

 

 
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