Question 805710: how to find all the zeros for
4x^4-x^3+5x^2-2x-6
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! how to find all the zeros for
4x^4-x^3+5x^2-2x-6
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Note: The coefficients sum to zerero, so x = 1 is a root.
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Use synthetic division to find the other roots::
1)....4....-1....5....-2....-6
.......4.....3....8.....6...|..0
Quotient: 4x^3 + 3x^2 + 8x + 6
Factor by groups::
x^2(4x+3) +2(4x+3)
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= (4x+3)(x^2+2)
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Zeroes are:: x = 1,-3/4,sqrt(2)i,-sqrt(2)i
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Cheers,
Stan H.
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