Fundamental Theorem of Algebra

• The fundamental theorem of algebra is one of the most important theorems in mathematics.
• It is an algebraic version of the fundamental theorem of arithmetic.
• The fundamental theorem of arithmetic states that every number is either a prime number or the product of a unique combination of prime factors.
• The fundamental theorem of algebra refers to the existence of complex zeros of a polynomial.

• This states that every polynomial has at least one zero that is a complex number.
• If the polynomial has one or more zeroes, then it is just a complex number where the imaginary part is equal to zero.

Conjugate Root Theorem

• This rule states that if a complex number is a zero of a polynomial, then the conjugate of that complex number will also be the zero of that number!