SOLUTION: Use the rational root theorem and the factor theorem to help solve the following equation: x^3 + x^2 - 25x -25=0. The answer I got was x= 5,-5,1...but I guessed...any help would b

Question 367686: Use the rational root theorem and the factor theorem to help solve the following equation: x^3 + x^2 - 25x -25=0. The answer I got was x= 5,-5,1...but I guessed...any help would be most appreciated.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Use the rational root theorem and the factor theorem to help solve the following equation: x^3 + x^2 - 25x -25=0. The answer I got was x= 5,-5,1...but I guessed...any help would be most appreciated.
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It looks like x = -1 is a root.
Use synthetic division to check:
-1)....1,,,,1,,,,-25,,,,-25
........1.....0....-25...|..0
Solve x^2-25 = 0
(x-5)(x+5) = 0
x = 5 or x = -1
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All solutions: x = -5,or -1, or 5
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Cheers,
Stan H.
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