SOLUTION: Use the given zero to find the remailning zeros of the function. f(x)= x^3-3x^2-5x+39; zero: -3 Thank you

Question 284698: Use the given zero to find the remailning zeros of the function.
f(x)= x^3-3x^2-5x+39; zero: -3
Thank you
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
if x=-3 then x+3 is a factor.
divide the equation by (x+3) and get x^2-6 x+13
which has two complex roots

Solved by pluggable solver: SOLVE quadratic equation with variable

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

Here's your graph:

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