Question 86744: Find the polynomial of lowest degree with the given zeros:
1, 2. I am not understanding how to do this, Please, help. Thanks!
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website!
Find the polynomial of lowest degree with the given zeros:
1, 2. I am not understanding how to do this, Please, help. Thanks!
Work the problem backwards.
You would end up with
x = 1, x = 2
Before that you would have had:
x - 1 = 0 and x - 2 = 0
Before that you would have had
(x - 1)(x - 2) = 0
And before that you would have had
x² - 3x + 2 = 0
So the simplest polynomial of
lowest degree you could have had
would have been:
x² - 3x + 2
Edwin
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