Solving Polynomial Equations by Factoring

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In this lesson, we review how to solve a polynomial equation by factoring. In most cases, we are dealing with a quadratic equation. This type of equation contains a squared variable term and no term of any higher degree. To solve a quadratic equation, or any other type of polynomial equation by factoring, we begin by placing the equation in standard form. This will give us a polynomial on the left and a 0 on the right. We then factor the left side and use the zero product property to get a solution. The zero product property tells us that if two or more variables are multiplied together and the result is zero, then at least one of the variables is equal to 0. To apply this, we simply set each factor with a variable equal to 0 and solve. This will give us the solution or solutions for our equation.
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