SOLUTION: This is a factoring problem with that may of may not have more than one solution. I need to see the steps to resolving it and any/all solutions. Can anyone help me? w³ + 5w² - w

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This is a factoring problem with that may of may not have more than one solution. I need to see the steps to resolving it and any/all solutions. Can anyone help me? w³ + 5w² - w      Log On


   

Question 43794: This is a factoring problem with that may of may not have more than one solution. I need to see the steps to resolving it and any/all solutions. Can anyone help me?
w³ + 5w² - w = 5


Thanks
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Use Descarte's Rule of Signs and the general works to get the answer:
w³ + 5w² - w - 5 = 0
(x - 1)(x^2 + 6x + 5) = 0
(x - 1)(x + 5)(x + 1) = 0
x = 1
x = -5
x = -1