Zeros of rational function (x^3 + 3x^2 + 4x + 12) / (x^2 - 9)

[YugiMoto]

How would I go about finding the real and complex zeros of this function? Any help appreciated!

(x^3+3x^2+4x+12)
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(x^2-9)

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Edit: I think I figured it out, thanks anyway

 

[mmm4444bot]

How would I go about finding the real and complex zeros of this function? Any help appreciated!

(x^3+3x^2+4x+12)
_________________
(x^2-9)

There are different approaches; what methods have you been taught in class?

What have you tried or thought about, so far? That is, where did you get stuck?

Have you learned Polynomial Division OR can you factor the numerator and denominator? Either of these as a first step would allow you to simplify the given rational expression.

Please be sure to read the forum guidelines. Thanks! :cool: