How do you factor x^3-x^2+4x-4

Question

X³-X²+4X-4

Answer 1

Let's see if we can find a common factor.

 

x³ - x² + 4x - 4 can be re-written as (x³ - x²) + (4x - 4) = x²(x - 1) + 4(x - 1)

 

There is a common factor of (x - 1), so we now have:

 

(x- 1)(x² + 4)