SOLUTION: Factor by grouping If possible. Show your work x^3-6x^2+5x-30 I do not know how to do this problem please could someone show me how?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor by grouping If possible. Show your work x^3-6x^2+5x-30 I do not know how to do this problem please could someone show me how?      Log On


   

Question 314986: Factor by grouping If possible. Show your work

x^3-6x^2+5x-30

I do not know how to do this problem please could someone show me how?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


More art than science to this.

There are 4 terms, so that suggests a two and two grouping. Let's try the first two terms as a group. From the first two terms we can factor out an






This is looking promising because if you take a 5 out of the other two terms you get again.



Now you can factor out



And all is well with the world.

John