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## Solving Polynomial EquationsA a We will learn to solve this type of equation both algebraically and graphically.
## Solving Polynomial Equations by FactoringWith this method, we use the zero product property, just as we did to solve quadratic equations. In general, if a number is a solution to a polynomial equation f(x) = 0, then the following are true: â€¢ (x - a) is a factor of f(x) â€¢ a is a zero of the function f(x) â€¢ a is an x-intercept of the graph of f(x)
## Solving Polynomial Equations by the Root MethodRecall that to solve x We can solve the equation x In general, when n is even, there will be two real nth roots and when n is odd, there will be only one nth
root. So the The real solutions of the equation x if n is odd, and if n is even
Many real world models involve polynomial equations which either are not factorable or are extremely
difficult to factor. In these cases, we need to rely on |