Question

How do I factorise t³-3t-2

Answer 1

I think it would stay the same as t^3 cannot be factorised nether can the 3t or the 2 so it would be the same

Answer 2

t³ - 3t - 2 = t³ - 4t + t - 2 = t(t²-4) + t - 2 = t(t-2)(t+2) + (t-2) = 
= (t-2)(t(t+2)+1) = (t-2)(t²+2t+1) = (t-2)(t+1)²