SOLUTION: How do you find all zeros of f, including complex zeros given f(x)= {{{2x^3-7x^2+12x+8}}}

Question 223762: How do you find all zeros of f, including complex zeros given f(x)=
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How do you find all zeros of f, including complex zeros given f(x)=
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I found a real root x = -1/2 by graphing.
Dividing that out leaves

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -16 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -16 is + or - .

The solution is , or
Here's your graph:

--> 2 +/- 2i

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