How Do You Divide Two Polynomials by Factoring and Canceling?

How Do You Divide Two Polynomials by Factoring and Canceling?

Note:

Simplifying a rational expression? You could factor the numerator and denominator and then cancel like factors. Learn what to do in this tutorial!

Keywords:

  • problem
  • rational
  • rational expression
  • variable
  • variables
  • fraction
  • algebraic fraction
  • fractions
  • numerator
  • denominator
  • simplify
  • cancel
  • common factor
  • factor
  • factor polynomials
  • divide
  • polynomial

Background Tutorials

  • Factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two

      • 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.

      • 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!

Further Exploration

  • Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend