Question 324194: I don't understand how to change a quadratic equation in factored form into one in expanded form, and the other way around, particularly when the equations get more complex. An explanation of how to do this would be much appreciated.
Thank you
-Meli
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! When solving a QUADRATIC EQUATION by factoring, the first step is to set the equation equal to zero! If you have an expression that is already in factored form on the left side of the equation, but it isn't equal to zero, then your first step is to multiply it out. Usually you will be using the FOIL method to multiply it out. Then you set the equation equal to zero. Then you re-FACTOR it to get it back into factored form. Does this answer your question??
I have a complete explanation on this topic on my own website!! You may find it easier to understand than your own textbook! Go to my website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Then click on my website that will be given there.
From the Homepage of my website, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "Basic Algebra". There you will find my COMPLETE curriculum for first level algebra. This topic of Quadratic Equations just happens to be in Chapter 2, so click on "Chapter 2" and look for "Section 2.09 Solving Quadratic Equations by Factoring." Look specifically at #55 and #56. If these are problems like your question, then go back to my Homepage, click on "MATH IN LIVING COLOR", "Basic Algebra", and look for "Section 2.09". There, you will find these specific problems solved IN COLOR!!
See if this helps. If you need to contact me, please send me an Email (on each page of my website!). You can comment in a "Thank You" note, but I have no way to respond to you.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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