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Polynomial Factor

A Factor of a Polynomial $P(x)$ of degree $n$ is a Polynomial $Q(x)$ of degree less than $n$ which can be multiplied by another Polynomial $R(x)$ of degree less than $n$ to yield $P(x)$, i.e., a Polynomial $Q(x)$ such that


For example, since


both $x-1$ and $x+1$ are Factors of $x^2-1$. The Coefficients of factor Polynomials are often required to be Real Numbers or Integers but could, in general, be Complex Numbers.

See also Factor, Factorization, Prime Factorization

© 1996-9 Eric W. Weisstein