The Fundamental Theorem of Algebra states that any polynomial can be factored into linear factors and/or irreducible polynomials of degree 2.

Factor Properties of Polynomials

1. A factorable quadratic polynomial can be represented by two linear factors (repeated or not).
   
   
2. A cubic polynomial can be factored either into three linear factors (repeated or not), or a linear factor and irreducible factor.

The Remainder Theorem. If a polynomial  P (x)  is divided by the binomial  (x - c), then the remainder is equal to  P (c).

Corollary. If a polynomial  P (x)  is divided by  (x – c), then  (x – c)  is a factor of the polynomial  P (x) – P (c).

The Factor Theorem. If  P (c) = 0, then  (x – c)  is a factor of the polynomial  P (x).

Index Real Numbers Complex Numbers Exponentiation Algebraic Transformations Algebraic Equations and Ineualities Functions Discrete Algebra Basic Formulas Graphics of Basic Functions