What is the Fundamental Theorem of Algebra?

What is the Fundamental Theorem of Algebra?

Note:

Does every polynomial function have a solution? The answer can be found through the Fundamental Theorem of Algebra! This tutorial introduces you to the theorem and explains how its meaning.

Keywords:

  • definition
  • fundamental theorem of algebra
  • roots
  • zeros
  • polynomial function
  • complex
  • imaginary
  • real
  • degree
  • number of zeros

Background Tutorials

  • Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

      • What's a Real Number?What's a Real Number?

      What's a Real Number?

      Real numbers are numbers that can be found on the number line. This includes both the rational and irrational numbers. This tutorial explains real numbers and gives some great examples. Take a look!

  • Know there is a complex number i such that i^2 = -1, and every complex number has the form a + bi with a and b real.

      • What is an Imaginary Number?What is an Imaginary Number?

      What is an Imaginary Number?

      Imaginary numbers are used to help us work with numbers that involve taking the square root of a negative number. In this tutorial, you'll be introduced to imaginary numbers and learn that they're a type of complex number.