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Mathematics 27 Online
OpenStudy (anonymous):

State how many imaginary and real zeros the function has. f(x) = x^3 - 20x^2 + 123x - 216

OpenStudy (anonymous):

how many real and how many imaginer and how do u find them

OpenStudy (asnaseer):

have you learnt about Descartes Rule of Signs?

OpenStudy (anonymous):

no not yet

OpenStudy (dumbcow):

well easy way is graph it ...but i think you are talking about Descartes rule of signs count the sign changes ooh nevermind

OpenStudy (asnaseer):

do you know what method you are expected to use here?

OpenStudy (anonymous):

my online textbook won't open so I'm not sure

OpenStudy (dumbcow):

use your graphing calculator and see how many times it crosses x-axis

OpenStudy (asnaseer):

what about dumbcow's suggestion of just graphing it?

OpenStudy (anonymous):

ok 1 sec

OpenStudy (anonymous):

2 img & 1 real

OpenStudy (asnaseer):

here is one nice online graphing tool: https://www.desmos.com/calculator

OpenStudy (dumbcow):

remember imaginary roots always come in pairs

OpenStudy (anonymous):

so theres not to imaginary

OpenStudy (dumbcow):

http://www.wolframalpha.com/input/?i=plot%28x^3+-+20x^2+%2B+123x+-+216%29 see it crosses 3 times so there are 3 real , 0 imaginary

OpenStudy (anonymous):

ohhhhhhhhh !!!! now i get it

OpenStudy (asnaseer):

good :) - thx to dumbcow.

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