SOLUTION: If you have a polynomial that has roots at -2 (single root), 1 (double root) and 3 (single root), what is the exact equation of the polynomial passing through the point (-4,210)?

Question 562138: If you have a polynomial that has roots at -2 (single root), 1 (double root) and 3 (single root), what is the exact equation of the polynomial passing through the point (-4,210)?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The polynomial must have factors =,
, and .
If it is a polynomial of degree 4, it will be

If we also know that
,
then ==
=
There are also infinite other polynomials with the same roots passing through the same point. For example,
has exactly the same roots and complies with , but its degree is 6,and it's probably not the intended answer.
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