# Math Help - Factorising polynomial

1. ## Factorising polynomial

I can do this for most, but this ones got me stuck!

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

I tried putting in values of x to make it = 0 but can't find one.

2. Originally Posted by hciR
I can do this for most, but this ones got me stuck!

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

I tried putting in values of x to make it = 0 but can't find one.
Hello hciR,

Rearrange: $2x^3+2x-x^2-1$

Group: $(2x^3+2x)-(x^2+1)$

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

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

3. Oh I see, I don't think I would ever have spotted the re-arranging bit. Thanks!

4. Originally Posted by hciR
Oh I see, I don't think I would ever have spotted the re-arranging bit. Thanks!
Sometimes, you just have to try a few different ways. Here, there were only a few grouping options to try. Grouping the first two terms and last two terms didn't lead anywere, so I tried the first and third terms, then the second and fourth.