SOLUTION: Hi all, I was hoping someone could help with the following; I need to Solve this cubic equation for x: x^3 - 4x^2 + x + 6 = 0. Any help would be great, Thanks.

Algebra ->  Equations -> SOLUTION: Hi all, I was hoping someone could help with the following; I need to Solve this cubic equation for x: x^3 - 4x^2 + x + 6 = 0. Any help would be great, Thanks.       Log On


   



Question 204047: Hi all, I was hoping someone could help with the following; I need to
Solve this cubic equation for x: x^3 - 4x^2 + x + 6 = 0.
Any help would be great,
Thanks.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^3 - 4x^2 + x + 6 = 0
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If you substitute x = -1 you will see that -1 is a root.
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Using synthetic division you can find the other roots.
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-1)....1....-4....1....6
.........1.....-5...6...|..0
Quotient: x^2-5x+6
Factor: (x-3)(x-2) = 0
Ans: x = -1 or 2 or 3
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Cheers,
Stan H.