Graphs Of Polynomial Equations Of Higher Degree

                     Lesson 1

                                                                                                                                                                          

                                                             Problem:                   Find the number of real roots of this equation:

- 8x3+5x2+4x- 6=0

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                                                             Solution                    Analyze the graph carefully

                           Step 1:  

                     

                                                                                 Solution                          The intersection points of the graph on the x-axis are the real roots of the equation

 Step 2:                        

 

                                                            Solution                          There are two roots on the equation

                                                             Step 3: 

 

 Solution                    The answer is:  two real roots

 Step 4:                                                                      

 Complete                                                                   

                                                                                  

                                             

                                                             Try two practice problems:  

 

                                                                                               Solve:

 

A.

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B.

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Number of real roots of this equation:

-6x3-5x2+8x-5=0

 

What are the zeroes of the polynomial function?

p(X)=2x3-4x2+9x- 5=0

 

                                                                                                        

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