Question 147989: Solve the equaton x^3-4x^2-x+4=0 and list all the solutions.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve the equation x^3-4x^2-x+4=0
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Since the coefficients add up to zero, x=1 is a solution.
Use synthetic division to find others:
1)....1....-4....-1....4
.......1.....-3....-4..|..0
Quotient: x^2-3x-4
Solve the quadratic by factoring:
(x-4)(x+1) = 0
x = 4 or x = -1
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All solutions: x = 1, or 4, or -1
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Cheers,
Stan H.
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