SOLUTION: I have an algebra problem that I am having a hard time solving. It's been 30 years since I've had algebra, and I'm in college, now for the first time. This is a bonus question fo

Algebra ->  Equations -> SOLUTION: I have an algebra problem that I am having a hard time solving. It's been 30 years since I've had algebra, and I'm in college, now for the first time. This is a bonus question fo      Log On


   

Question 199795: I have an algebra problem that I am having a hard time solving. It's been 30 years since I've had algebra, and I'm in college, now for the first time. This is a bonus question for my next test, and I need all the help I can get. Can you help me?
I need to write an equation that has three solutions:
0, 1, and 2
Please help me if you can.
Thank you
Deb
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If , or , or , then

, or

, or



Since each of these three expressions can be equal to zero depending on the value of , their product must also be zero if is equal to any of the three possible solutions, so:



Now, that is "an" equation that satisfies the requirements of the problem. However, I suspect that the desired answer is a 3rd degree polynomial in which can be obtained by first multiplying the two binomials using FOIL and then multiplying the result by

John