How Do You Use a Solve a Polynomial Equation With Two Variables?

How Do You Use a Solve a Polynomial Equation With Two Variables?

Note:

Got an equation with polynomials involving multiple variables on both sides? You can factor out the greatest common factor, then factor by grouping, and then use the zero-product property to solve. Follow along with this tutorial to see a step-by-step explanation!

Keywords:

  • problem
  • equation
  • polynomial
  • monomial
  • solve
  • factor
  • common factors
  • greatest common factor
  • grouping
  • factor by grouping
  • gcf

Background Tutorials

  • Introduction to Algebraic Expressions

  • Sets and Number Lines

      • What's a Set?What's a Set?

      What's a Set?

      This tutorial will help you understand what a set is, and the different kinds of sets that you may see when you're working on algebra problems :)

  • Simplifying Expressions

      • What's a Term?What's a Term?

      What's a Term?

      Polynomials are those expressions that have variables raised to all sorts of powers and multiplied by all types of numbers. When you work with polynomials you need to know a bit of vocabulary, and one of the words you need to feel comfortable with is 'term'. So check out this tutorial, where you'll learn exactly what a 'term' in a polynomial is all about.

  • Greatest Common Factors

  • Solving Polynomial Equations

  • Factoring by Grouping and Choosing a Factoring Strategy

      • How Do You Factor a 4-Term Polynomial by Grouping?How Do You Factor a 4-Term Polynomial by Grouping?

      How Do You Factor a 4-Term Polynomial by Grouping?

      Factoring by grouping is one way to factor a polynomial. This tutorial shows you how to take a polynomial and factor it into the product of two binomials. Then, check your answer by FOILing the binomials back together!

Further Exploration

  • Solving Polynomial Equations

  • Solving Quadratics by Factoring

      • How Do You Solve a Quadratic Equation by Factoring?How Do You Solve a Quadratic Equation by Factoring?

      How Do You Solve a Quadratic Equation by Factoring?

      One of the many ways you can solve a quadratic equation is by factoring it. In this tutorial, you'll see how to factor a quadratic equation using the guess and check method of factoring. Then, use the zero product property to find the solution!