Question

Solve: x^3-2x^2-5x+6=0

Answer 1

Please help!

Answer 2

first thing I do in these situations is check if you get lucky and have +/-1 be a solution...

Answer 3

Answer:

x= -2 , x= 1 and x = 3

Answer 4

Did you try synthetic division?

Answer 5

No, I haven't tried synthetic division because I was unsure how to start it? Do I just pick number I think will work?

Answer 6

The factors of the constant term, which is 6, are +-1, +-2, +-3, +-6. Would you agree?

Answer 7

The coefficient of the x^3 term is 1. So the possible rational roots are the factors of the constant term divided by the factors of 1.

Answer 8

Yes that makes sense. Okay, so now I try all of those numbers?

Answer 9

\[\pm1, \pm2,\pm3, \pm 6\]

Answer 10

i usually start with the small ones.