# SOLUTION: Solve the equaton x^3-4x^2-x+4=0 and list all the solutions.

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 Click here to see ALL problems on test Question 147989: Solve the equaton x^3-4x^2-x+4=0 and list all the solutions. Answer by stanbon(57219)   (Show Source): You can put this solution on YOUR website!Solve the equation x^3-4x^2-x+4=0 ------- 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 ------------------- All solutions: x = 1, or 4, or -1 =================== Cheers, Stan H.