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Mathematics 19 Online
OpenStudy (anonymous):

x^4-23x^2-8x+40

OpenStudy (amistre64):

youre gonna have to provide some sor tof explanation is to what needs to be done with this

OpenStudy (anonymous):

OpenStudy (anonymous):

its a polynomial the answer is (x+1)(x+2)(x-1)(x-5) I need to show how to get there

OpenStudy (amistre64):

well, the answer suggests that it is not factored by grouping; so theres a bit of trial and error involved

OpenStudy (amistre64):

there are names strewn about like: rational roots test, decartes sign changes and the like

OpenStudy (amistre64):

teh rational roots test on this one is simple enough since the first number is a 1; just factor out 40 1,2,4,5,8,10,20,40 .. i think thats all of the integer factors now try them as roots and see which ones pass

OpenStudy (anonymous):

ok thank u

OpenStudy (amistre64):

with 2 sign changes to begin with; there are going to be either 2 or 0 positive roots according to descartes i believe

OpenStudy (anonymous):

the answer also suggests the question said "factor"

OpenStudy (anonymous):

yes im looking for interceptors

OpenStudy (amistre64):

i have to wonder if this is the answer since the end numbers dont have a product of 40

OpenStudy (amistre64):

(x+1)(x+2)(x-1)(x-5) 5.2.1.1 = 10, not 40

OpenStudy (anonymous):

well these are the x interceptors

OpenStudy (amistre64):

wolframalpha disagrees http://www.wolframalpha.com/input/?i=x^4-23x^2-8x%2B40

OpenStudy (anonymous):

hold on im sending a file

OpenStudy (anonymous):

here

OpenStudy (amistre64):

youre pretty good up til you say the "factors are" its like you invented some fabricated results to stick in there instead of using what you found :)

OpenStudy (amistre64):

the factors are the OPPPOSITE of the values you found -(-4,-2,1,5) = 4,2,-1,-5 , insert these into the (x...) parts (x+4)(x+2)(x-1)(x-5) is a better approximation

OpenStudy (amistre64):

in otherwords, you probably typoed the 4 into a 1 :)

OpenStudy (anonymous):

here

OpenStudy (anonymous):

ok great thanks a lot this is the answers my intructor posted and he is giving me problems because i didnt show my work

OpenStudy (amistre64):

the exact answers are NEAR these at best

OpenStudy (anonymous):

here

OpenStudy (anonymous):

ok thank u my friend

OpenStudy (amistre64):

youre welcome :)

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