SOLUTION: find all the REAL zeros of f(x) = 3x^4+11x^3+11x^2+x-2

Question 427323: find all the REAL zeros of f(x) = 3x^4+11x^3+11x^2+x-2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find all the REAL zeros of
f(x) = 3x^4+11x^3+11x^2+x-2
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Use synthetic division:
-1)....3....11....11....1....-2
........3.....8....3....-2...|..0
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Quotient: 3x^3+8x^2+3x-2
-1)....3....8....3....-2
........3....5....-2...|..0
Quotient: 3x^2+5x-2
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Solve 3x^2+5x-2 = 0
3x^2+6x-x-2 = 0
3x(x+2)-(x+2) = 0
(x+2)(3x-1) = 0
x = -2 or x = 1
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All the Real Zeroes:
x = -1 with multiplicity 2
x = -2
x = 1
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Cheers,
Stan H.
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