1. A cubic polynomial is given by (f)x = x3 + x2 - 10x + 8 1) i) Show that (x -1) is a factor of f(x) ii) Factorise f(x) fully iii) Sketch the graph 2. Factor theorem? 3. Attempt at solution i) I know that f(1) = 0, so (x - 1) is a factor of (f)x = x3 + x2 - 10x + 8 ii) I think i am correct in saying that since you know (x - 1) is a factor you can write it like this; ( x-1 )( x2 - 10x + 8 ), i just dont know where to go from there. I dont think you can factorise x2 - 10x + 8 any further? I presume that by factorising fully, they mean in the form (x-a)(x-b)(x-c), i just cant seem to get there.