SOLUTION: I need help with finding all the zeroes of an equation. x^4-6x^2-7x-6=0

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Question 687737: I need help with finding all the zeroes of an equation.
x^4-6x^2-7x-6=0

Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I need help with finding all the zeroes of an equation.
x^4-6x^2-7x-6=0
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Try the factors of 6, plus and minus.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I need help with finding all the zeroes of an equation.
x^4-6x^2-7x-6=0
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I graphed it and found Real Number zeroes at x = 3 and at -2
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Use synthetic division to find the quadratic quotient:
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3)....1...0....-6....-7....-6..
......1...3.....3....+2...|..0
-2)...1...1.....1...|..0
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Quadratic quotient: x^2 + x + 1
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Use the Quadratic formula to find the zeroes of that quadratic.
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Cheers,
Stan H.