2. find the factors of k³ - k² + k - 1

Dear Student,

Please find below the solution to the asked query :

$$\begin{gathered} {\mathrm{k}}^3-{\mathrm{k}}^2+\mathrm{k}-1 \\ ={\mathrm{k}}^2\left(\mathrm{k}-1\right) + 1\left(\mathrm{k}-1\right) \\ =\left({\mathrm{k}}^2+1\right)\left(\mathrm{k}-1\right) \end{gathered}$$

Hope this would clear your doubt.

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