Wetzel

Math 102

8.4 – Quadratic and Rational Equations

Factoring:

            Steps:

1.      Write in Standard form

2.      Factor Out Common Factors making sure leading term is positive

3.      Count the number of terms:

                        Two Terms:

                                    Difference of Squares

                                    Difference of Cubes

                                    Sum of Cubes

                        Three Terms:

                                    Trial and Error

                        Four Terms:

                                    Grouping Method

4.      Check by FOILing and see if you can factor any further

Ex:  Factor Completely.

1.)                                                       2.)                                

3.)                                            4.)                        

5.)                                                 6.) 

Quadratic Equations:

            To Solve:

                        1.)  Set equal to zero and factor

                        2.)  Set each factor (with a variable) equal to zero and solve.

            Ex:

            1.)                                           2.) 

          3.)                                            4.)