find the remainder of:

x^5-x^4+x^3+2x^2-x+4 divided by x^3+1

Question

find the remainder of:

x^5-x^4+x^3+2x^2-x+4 divided by x^3+1

owlcoffee · Answer

Use the theorem of the remainder and you'll obtain the remainder of the division without actually doing it.

anonymous · Answer

could you check my answer?  i got  x^2+3 to be the remainder

anonymous · Answer

@Owlcoffee

owlcoffee · Answer

hmm, I got x^2-1 as a remainder, try checking if you didin't make any operatory mistakes.

anonymous · Answer

ill type up what i did one sec

anonymous · Answer

http://gyazo.com/fe443b7183b2571e9403d002a40c1a4a

mathmath333 · Answer

$\large \color{black}{\begin{align} \normalsize \text{thats right , remainder will be}\hspace{.33em}\~\
\dfrac{x^2+3}{x^3+1}\hspace{.33em}\~\
\end{align}}$

anonymous · Answer

wait its all over x^3+1 ?

mathmath333 · Answer

$\large \color{black}{\begin{align} \normalsize \text{yes it will be}\hspace{.33em}\~\
\Huge \dfrac{x^2+3}{x^3+1}\hspace{.33em}\~\
\end{align}}$

anonymous · Answer

could you explain where you got the x^3+1, i only got my answer to be x^2+3

anonymous · Answer

waiiit nevermindd i understand

anonymous · Answer

its what we dividing by  lol

mathmath333 · Answer

dividend =quotient * divisor + remainder

by this u can understand

anonymous · Answer

yea thank you :D :D