Question

How do you factor x^3-6x^2+11x-6=0?

Answer 1

Are you trying to find the real roots?

Answer 2

Yes, the solution is (x-1)(x-2)(x-3), I don't know how to get that

Answer 3

possible roots will be the factors of 6(or the constant in general) which are +/-1 +/-2 +/-3 +/-6

Answer 4

So, do you just plug those in and see what works?

Answer 5

yea

Answer 6

this is the only way i know ..hope it help

Answer 7

Thats helps, thank you!

Answer 8

dichalao's hint regarding the factors of the constant, 6 in this case, is presented at:

http://www.purplemath.com/modules/rtnlroot.htm

A quality plotting program can also be a great help. Refer to the attachment.

Answer 9

Thank you~!

Answer 10

My pleasure.