Question

Factorise the following:

x³ – 5x² + 6x

Answer 1

Given expression: x³ – 5x² + 6x

Step-wise calculation:

1. Factor out the common factor x:

x³ – 5x² + 6x = x(x² – 5x + 6)

2. Factorise the quadratic x² – 5x + 6 by finding two numbers whose product is (+6) and sum is (–5). 

These are (–2) and (–3): x² – 5x + 6 = (x – 2)(x – 3).