SOLUTION: find the polynomial whose roots are 1,-1 and 3

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Question 1147507: find the polynomial whose roots are 1,-1 and 3
Found 2 solutions by greenestamps, Alan3354:
Answer by greenestamps(13206) About Me  (Show Source):
You can put this solution on YOUR website!


For each root a, you need one or more factors of (x-a).

The simplest is

(1) P%28x%29+=+%28x-1%29%28x%2B1%29%28x-3%29

There can also be a constant factor; for example

(2) P%28x%29+=+-2%28x-1%29%28x%2B1%29%28x-3%29

And any of the linear factors can occur multiple times; for example

(3) P%28x%29+=+%28x-1%29%28%28x%2B1%29%5E2%29%28%28x-3%29%5E3%29

Graphs: (1) red; (2) green; (3) blue....

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Almost psychedelic.