SOLUTION: Can you help me find the zeros of thie equation 3x^4-4x^3-6x^2+20x

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Question 447765: Can you help me find the zeros of thie equation 3x^4-4x^3-6x^2+20x
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


In a word, no. That is because you don't have an equation. An equation has an equals sign in it indicating that two quantities or expressions are, in fact, equal. You have no such thing.

Now, if what you really meant to say was:



Then that is another story altogether.

In that case, I will help you find one of the zeros.

Factor out an x:



Telling us that one of the zeros is 0.

But after that you are on your own. The other factor, the cubic polynomial, does NOT factor. You could find an approximation of the one remaining real number zero by Newton's method, but that would get you no closer to the two other complex number zeros. The only method remaining is the general solution of the cubic. But you are on your own with that one. Take a look at the Wikipedia article on the general cubic. Have fun.

John

My calculator said it, I believe it, that settles it
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