Question 49310
w^3 + 5w^2 - w - 5 = 0
a = 1,5
b = 1
+- a/b = +- 1 and +- 5
Positive: 1 ~> 1
Negative: 2 ~> 0
Imaginery: 0 ~> 2
You automatically know that you have a positive root.
5|....1....5....-1....-5
.......1.....10....49.....240 (w - 5) is a not a factor
1|....1....5....-1....-5
.......1....6.....5......0 (w - 1) is a factor
(w^2 + 6w + 5)(w - 1)
(w + 5)(w + 1)(w - 1)
{{{graph(600,600,-10,10,-10,10,x^3+5x^2-x-5,0)}}}