factorize $x^{3}$- $x^{2}$ + $x^{1}$ -1
You asked:
Factor the expression: \(\displaystyle {x}^{3} - {x}^{2} + {x}^{1} - 1\)
MathBot Answer:
Factorization over the rational numbers:
\[\left(x^{2} + 1\right) \left(x - 1\right)\]Factorization over the complex numbers:
\[\left(x - 1\right) \left(x - i\right) \left(x + i\right)\]\(i\) is the imaginary unit, defined as \(i^2 = -1\).