Question

Factorise the following:

x³ – 3x² – x + 3

Answer 1

Given: x³ – 3x² – x + 3

We know that,

x² (x – 3) – (x – 3)

Hence,

⇒ x²(x – 3) – (x – 3)

⇒ (x – 3)(x² – 1)

⇒ (x – 3) (x + 1) (x – 1)