SOLUTION: I need to find a equation in which -3 and +4 are solutions. I am really stumped

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Question 199415: I need to find a equation in which -3 and +4 are solutions.
I am really stumped

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

You are just doing the problem backwards. In the first place, since there are two solutions, you know that you must have a second degree equation. If you were solving a quadratic, something that looks like:



You would factor the trinomial and have something that looks like:



Then you would use the Zero Product Rule to say:



so



or


so



Therefore, start at the end:

so




Likewise:





Now we have our two factors:



So all you have to do is multiply the binomials using FOIL and you are done.

John