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..

## Answer This Question

## Related Questions

- 8th Grade Algebra: Answer Check #2 - Add or Subtract (Radicals) { this means ...
- Maths - Can someone factorise 25x^2-25xy+6y^2 show your work please
- 8th Grade Algebra: Answer Check - Find the length of the 3rd side of each right ...
- Algebra - 1. 12 + 8a + 4a^2 2. Factorise -5x^2 + 27x - 10 Please show me full ...
- Maths - Show that (x + 1)(x – 3)(x – 4) = x3 – 6x2 + 5x + 12 I'm so sorry but I ...
- Maths - Factorise as far as possible: 1) 2a^2b + 8a^2b^2 The answer i got for ...
- maths - I don't understand what to do at all, I've several like this if someone ...
- maths, algebra - State the degree of each of the following: a)3 b)x^0 My answer ...
- Algebra - Can someone check my algebra answers and help me with the problems I ...
- maths logarithms - Solve this equation: 5^2x+1 + 24(5^x) = 5 The answer has to ...

More Related Questions