x³-6x²+11x-8 is divided by (x-1)
You asked:
Evaluate the expression: \({x}^{3} - 6 \cdot {x}^{2} + 11 x - \frac{8}{x - 1}\)
MathBot Answer:
Evaluated
\(\displaystyle {x}^{3} - 6 \cdot {x}^{2} + 11 x - \frac{8}{x - 1} = x^{3} - 6 x^{2} + 11 x - \frac{8}{x - 1} \)
Expanded
\[{x}^{3} - 6 \cdot {x}^{2} + 11 x - \frac{8}{x - 1} = x^{3} - 6 x^{2} + 11 x - \frac{8}{x - 1}\]
Factored
\[{x}^{3} - 6 \cdot {x}^{2} + 11 x - \frac{8}{x - 1} = \frac{\left(x^{2} - 5 x + 8\right) \left(x^{2} - 2 x - 1\right)}{x - 1}\]