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Quadratic Equations

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Solve Quadratic Equations by factoring, using square roots and completing the square, Intermediate Algebra

Vocabulary of Quadratic Polynomials
Quadratic equations and functions have a lot of complex vocabulary that can make them difficult to solve. When solving quadratic polynomials, there are several different ways to instruct students on how to find the roots, find the solutions, find the x-intercepts or find the zeroes of polynomial functions and quadratic graphs.
Solving Quadratic Equations by Factoring
When we solve quadratic equations, we have several different methods that we can choose from. Solving quadratic equations by factoring is just one of those methods. When solving quadratic equations by factoring, we set one side of the equation to zero and then factor the quadratic equation so that we can use the zero product property to determine where x = 0. Quadratic equations can also be solved by using square roots, completing the square or the quadratic formula.

Solving Quadratic Equations using Square Roots
Solving quadratics can be difficult and solving quadratics using square roots is just one of the methods of solving a quadratic equation. Solving a quadratic equation using square roots works best when we have a quadratic equation that does not have a "b" term and by taking the square root of either side of the equation. Quadratic equations can also be solved by factoring, completing the square or the quadratic formula.
Solving Quadratic Equations by Completing the Square
Solving quadratics can be difficult. Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations and is a good tool to have in your math tool belt.

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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