Question

Factorize:
x³ − 5x² − x + 5

Answer 1

$$\begin{gathered} x^3-5x^2-x+5=x^2\left(x-5\right)-1\left(x-5\right) \\ =\left(x-5\right)\left(x^2-1\right) \\ =\left(x-5\right)\left(x^2-1^2\right) \\ =\left(x-5\right)\left(x-1\right)\left(x+1\right) \end{gathered}$$