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Find the remainder when x^15 + 1 is divided by x-1.

 Sep 30, 2020
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Find the remainder when x^15 + 1 is divided by x-1.

 

Hello Guest!

 

     \((x^{15}\) \(+1)\)    :  \((x-1)\) \(=x^{14}+x^{13}+…+x^2+x \)\(+\large \frac{x+1}{x-1}\)

      \(\underline{x^{15}-x^{14}}\)                                                                     

                 \(x^{14}\)

                 \(\underline{x^{14}-x^{13}}\)                                                            \( \frac{x+1}{x-1}=1+\frac{2}{x-1}\)

                            \(x^{13 }\)

                                     .... \(\underline{x^2-x}\) 

                                                    \(x\color{red}+1\) 

laugh  !

 Oct 1, 2020

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