SOLUTION: Given Function and one of its zeros, find all of the zeros of the function. h(x)={{{x^3-11x+20;2+i}}}

Question 279410: Given Function and one of its zeros, find all of the zeros of the function.
h(x)=
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Given Function and one of its zeros, find all of the zeros of the function.
h(x)=
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20 has factors of 1, 2, 4, and 5 to consider
Because of the 11x, it has to be an even number, so 1 and 5 are out.
Try 2 and 4, plus and minus
h(2) = not zero
h(4) is too big
h(-4) = 0 That's one.
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Divide by (x+4)
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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 -4 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 -4 is + or - .

The solution is , or
Here's your graph:

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x = 2 � i

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