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Mathematics 14 Online
OpenStudy (anonymous):

Does anyone know how to solve complex zeros.?

OpenStudy (anonymous):

hit meh!

OpenStudy (notamathgenius):

Use this website :) http://coolmath.com/algebra/22-graphing-polynomials/07-complex-zeros-02.htm its kiddy but it will help :)

OpenStudy (anonymous):

2x^3-3x^2+8x-12=0 @Brostep0s

OpenStudy (anonymous):

And okay, ill try it. Thanks. (: @Notamathgenius

OpenStudy (notamathgenius):

You're most certainly welcome :)

OpenStudy (anonymous):

is it a function?

OpenStudy (anonymous):

@aha.its.kristen

OpenStudy (anonymous):

@Brostep0s I'm not sure. The question is Solve 2x^3-3x^2+8x-12=0

OpenStudy (anonymous):

do you know synthetic division?

OpenStudy (anonymous):

(2x^3 - 3x^2 - 8x + 12) / (x - 2) = 0 First, let's observe that since (x - 2) is in the denominator, x = 2 is not in our domain, and therefore cannot be a solution even if algebraically it comes up as one. From here, the first step is to look at just the numerator: 2x^3 - 3x^2 - 8x + 12 We need to factor this to find solutions, so first, group (remembering to factor out the negative sign): (2x^3 - 3x^2) - (8x - 12) Factor each group: x^2 * (2x - 3) - 4 * (2x - 3) Since there is a common term, we can recombine: (x^2 - 4) * (2x - 3) Now, this first term is the difference of two squares and so it can further be factored to get the final factored form: (x + 2) * (x - 2) * (2x - 3) We can now put this back over our denominator: ((x + 2) * (x - 2) * (2x - 3)) / (x - 2) = 0 Since we have an (x - 2) term on the top and bottom, they cancel, leaving: (x + 2) * (2x - 3) = 0 From here, we set each term equal to 0 independently, and we solve: x + 2 = 0 and 2x - 3 = 0 Solving each, we get two solutions for the zeros: x = -2 and x = 3/2

OpenStudy (anonymous):

Oh my god, thank you so much. (: @Brostep0s

OpenStudy (anonymous):

yeppers cx

OpenStudy (anonymous):

did you fan me? jw cx

OpenStudy (anonymous):

Yes i did (: @Brostep0s

OpenStudy (anonymous):

I seen that... xD

OpenStudy (anonymous):

Yeah, message me? (:

OpenStudy (anonymous):

hmu cx

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