SOLUTION: Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x)=2x^3-x^2-12x+6

Question 147734: Find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x)=2x^3-x^2-12x+6

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x)=2x^3-x^2-12x+6
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Using synthetic division:
(1/2)....2....-1....-12....6
..........2.....0......-12..|..0
Zero at x=1/2
--------------
Examine 2x^2-12 = 0
2x^2 = 12
x^2 = 6
Zeroes at x = sqrt(6) and at x = -sqrt(6)
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Chees,
Stan H.
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