Question

Factorise $x^3-3x^2+x-3$

Answer 1

Factorizing the given polynomial

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

Hence, the factors of $x^3-3x^2+x-3$ are $(x-3)$ and $(x^2+1)$