Question

factories

x3–2x2–x+2​

Answer 1

Step-by-step explanation:

Factorise x3 - 2x2 - x + 2

Given that x3 − 2x2 − x+2

= x3 − x− 2x2 +2

Grouping the 1st 2 terms together and the 2nd 2 together:

= x(x2 − 1) − 2(x2 − 1)

= (x2 − 1) (x−2)

Using the identity: a2 − b2 = (a+b) (a−b)

= (x2−12) (x−2)

= (x−1) (x+1) (x−2)