What's a Prime Polynomial?

What's a Prime Polynomial?

Note:

If the only factors a polynomial are 1 and itself, then that polynomial is prime. To learn all about prime polynomials, check out this tutorial!

Keywords:

  • definition
  • prime
  • polynomial
  • prime polynomial
  • factor
  • integer
  • trinomial

Background Tutorials

  • Types of Numbers

      • What's a Prime Number?What's a Prime Number?

      What's a Prime Number?

      Prime numbers aren't too hard to define, but they still puzzle professional mathematicians. Believe it or not, all over the word computers are chugging away, trying to find the next biggest prime! Bigger and bigger prime numbers help keep your credit card info safe through really cool encryption techniques. So prime numbers really matter every day, and you can learn how they are defined in this tutorial.

  • Polynomials

      • What is a Polynomial?What is a Polynomial?

      What is a Polynomial?

      If you learn about algebra, then you'll see polynomials everywhere! In this tutorial, you'll learn the definition of a polynomial and see some of the common names for certain polynomials.

  • Factors

      • What's a Factor?What's a Factor?

      What's a Factor?

      Factors are a fundamental part of algebra, so it would be a great idea to know all about them. This tutorial can help! Take a look!

  • Greatest Common Factors

  • Factoring ax^2+bx+c

      • How Do You Factor a Polynomial by Guessing and Checking?How Do You Factor a Polynomial by Guessing and Checking?

      How Do You Factor a Polynomial by Guessing and Checking?

      Factoring trinomials can by tricky, but this tutorial can help! Follow along as a trinomial is factored using the guess and check method. What, no possibilities work? The trinomial must be prime! Watch this tutorial and see what happens!

  • Factoring by Grouping and Choosing a Factoring Strategy

      • How Do You Figure Out What Factoring Strategy to Use?How Do You Figure Out What Factoring Strategy to Use?

      How Do You Figure Out What Factoring Strategy to Use?

      When your trying to factor a polynomial, one of the most difficult tasks can be determining the correct factoring strategy. Luckily, this tutorial provides a great strategy for factoring polynomials! Check it out and always know how to approach factoring a polynomial!

Further Exploration

  • Factoring x^2+bx+c

      • How Do You Factor a Trinomial?How Do You Factor a Trinomial?

      How Do You Factor a Trinomial?

      Factoring trinomials can by tricky, but this tutorial can help! Follow along as a trinomial is factored right before your eyes! Then, check your answer by using the FOIL method to multiply the binomials back together and see if you get the original trinomial.