How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?

How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?

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
  • opposite
  • opposite binomial
  • difference of squares
  • negative

Background Tutorials

  • Simplifying Expressions

      • What is a Constant?What is a Constant?

      What is a Constant?

      Constants are parts of algebraic expressions that don't change. Check out this tutorial to see exactly what a constant looks like and why it doesn't change.

  • Factoring Strategies

      • 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 Using Difference of Squares?How Do You Factor a Polynomial Using Difference of Squares?

      How Do You Factor a Polynomial Using Difference of Squares?

      Trying to factor a binomial with perfect square factors that are being subtracted? You have a difference of squares problem! Learn how to factor a binomial like this one by watching this tutorial.

  • Simplifying Rational Expressions

      • What's a Rational Expression?What's a Rational Expression?

      What's a Rational Expression?

      Got a fraction with a polynomial in the numerator and denominator? You have a rational expression! Learn about rational expressions in this tutorial.

Further Exploration

  • Dividing Rational Expressions

      • How Do You Divide Two Rational Expressions?How Do You Divide Two Rational Expressions?

      How Do You Divide Two Rational Expressions?

      Dividing two rational expressions? Turn it into a multiplication problem by multiplying by the reciprocal of the second rational expression (the divisor)! This tutorial shows you how to do just that! Then, you'll see how to perform the multiplication and simplify to get you answer!

  • Solving Rational Equations

      • How Do You Solve a Rational Equation by Adding Fractions?How Do You Solve a Rational Equation by Adding Fractions?

      How Do You Solve a Rational Equation by Adding Fractions?

      Want some extra practice solving rational equations? This tutorial gives you just that! You'll see how to solve a rational equation containing rational expressions with common denominators. Then, you'll see how to solve an equation containing rational expressions with unlike denominators. Take a look!