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Solving Polynomial Equations

Solving Polynomial Equations 1.13 - Solution

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It is the cubic equation which should be solved. Let's factor out This gives us the equation We can now use the Zero Product Property to divide it into two equations. In the first, already stands by itself, so we know that is a solution. Let's now solve the other.
The three solutions then are
We will use the same method to solve the equation First we factor out Using the Zero Product Property we can write this as two equations. From the first equation we learn that is a solution. Next, we will solve the second equation.
We have found that there are three solutions to the equation and they are
Let's now solve using the method we practiced in Part A and Part B. If we factor out we get By using the Zero Product Property, we get the equations Again, we find that is a solution. Let's go on and solve the second equation.
Thus, the equation has three solutions and they are