SOLUTION: In the polynomial function f(x)=x^3-4x^2+6x-4, 2is a zero of the function. Name another zero of the function.

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Question 427009: In the polynomial function f(x)=x^3-4x^2+6x-4, 2is a zero of the function. Name another zero of the function.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In the polynomial function f(x)=x^3-4x^2+6x-4, 2 is a zero of the function. Name another zero of the function.
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Use synthetic division:
2)....1....-4....6....-4
.......1.....-2...2...|..0
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Quotient: x^2-2x+2
Solve x^2-2x+2 = 0
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x = [2 +- sqrt(4-4*1*2)]/2
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x = [2 +- sqrt(-6)]/2
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x = [2+sqrt(6)i]/2 or x = [2-sqrt(6)i]/2
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Cheers,
Stan H.