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Solve an equation with degree higher than 2?

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How would you go about trying to solve an equation with degree higher than 2? Would the number of terms in the equation dictate your method?

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The method of solving an equation with a degree higher than two is examined.

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If you have an equation of degree higher then 2, it is not always possible
to find the solution algebraically. Even if the degree is 3, it is not sometimes
possible to find the solution.
When it is possible to solve the equation, the common methods are the following.
1. Factor out:
If you are given an equation anxn+an-1xn-1+...+a1x+a0=0
try writing ...

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