Question

How do you factor `9t^3+18t-t^2-2`?

Answer 1

`9t^3+18t-t^2-2 = (9t^3+18t)-(t^2+2)`

`=9t(t^2+2)-(t^2+2)`

`=(9t-1)(t^2+2)`

Since `t^2+2 > 0` for all `t in RR`, it has no linear factors with real coefficients. So our factorization is complete.