Posted by **Claire** on Wednesday, October 10, 2007 at 1:39pm.

Factorise the following:

x^4 - x^3 - x^2 + x

The answer is x(x+1)(x-1)^2

but I cannot understand how to get this answer. Can someone please show me the working? Thanks!

- Maths algebra -
**bobpursley**, Wednesday, October 10, 2007 at 1:55pm
factor out x

x(x^3-x^2 -x + 1)

Now, on the cubic part, notice the 1 a the end. That means the factors have to multiply to one.

x( x(x^2-1) -(x^2-1))

x(x-1)(x^2-1) and you can factor the x^2-1 into two factors..

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