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Solving Polynomial Equations

Solving Polynomial Equations 1.20 - Solution

arrow_back Return to Solving Polynomial Equations
To solve the given equation by factoring, we will start by factoring out the GCF.
We have rewritten the left-hand side as a product of two factors. Now, we will apply the Zero Product Property to solve the equation.
From Equation (I), we found that one solution is To find other solutions, we will solve Equation (II). Note that this is a quadratic equation. Thus, we will use The Quadratic Formula. To do so, we first need to identify and We see that and Let's substitute these values into the formula and solve for
Solve for
We will now find the first and second solutions by using the positive and negative signs.

These solutions to the quadratic equation are also solutions for the given equation.