Formal Version
Let be a polynomial with complex coefficients, and be in an integral domain (e.g. ). Then if and only if can be written in the form where is also a polynomial. is determined uniquely.
This indicates that those for which are precisely the roots of . Repeated roots can be found by application of the theorem to the quotient, which may be found by polynomial long division.
Read more about this topic: Factor Theorem
Famous quotes containing the words formal and/or version:
“On every formal visit a child ought to be of the party, by way of provision for discourse.”
—Jane Austen (17751817)
“I should think that an ordinary copy of the King James version would have been good enough for those Congressmen.”
—Calvin Coolidge (18721933)