Question

how would you factor this: t^3-3t+2? how would you factor this: t^3-3t+2? @Mathematics

Answer 1

\[(t-1)(t-1) (t+2) \]

Answer 2

{t -> -2}, {t -> 1}, {t -> 1}

Answer 3

the book says the answer is (t-1)^2 (t+2), but how did you guys get it?

Answer 4

t^3 - 4t + t + 2
=> t*(t^2-4) +1(t+2)
=> t*(t-2)*(t+2) +1*(t+2)
=> (t-1)(t-1)(t+2)

Answer 5

wait that doesn't make sense ^ (sheg) how did you get (t-1)(t-1)(t+2) if you have t*(t-2)*(t+2) +1*(t+2)

Answer 6

t(t-2)(t+2)+(t+2)
=>(t+2)[t(t-2)+1]
=>(t+2)(t^2-2t+1) and (t^2-2t+1)=(t-1)^2
=>(t+2)(t-1)^2