imayasmin77 imayasmin77

01-08-2017
Mathematics

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what is the reminder if f(x)=3x^4+2x^3-x^2-x-6 divide by x^2+1

what is the reminder if fx3x42x3x2x6 divide by x21 class=

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LammettHash LammettHash

01-08-2017

Attached is a walkthrough of the long division algorithm. The final line gives the remainder term. Basically, this translates to

[tex]\dfrac{3x^4+2x^3-x^2-x-6}{x^2+1}=3x^2+2x-4+\dfrac{-3x-2}{x^2+1}[/tex]

so that the remainder is [tex]-3x-2[/tex].

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