SOLUTION: If x=1/2 is a zero of the polynomial f(x)=8x^3+ax^2-4x+2, find the value of a?

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Question 978311: If x=1/2 is a zero of the polynomial f(x)=8x^3+ax^2-4x+2, find the value of a?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If x=1/2 is a zero of the polynomial f(x)=8x^3+ax^2-4x+2, find the value of a?
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Using synthetic division::
1/2)....8.....a.....-4.....2
........8....a+4...(1/2)a-2..|(1/4)a+1

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Solve:: (1/4)a+1 = 0
a = -4
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Cheers,
Stan H.
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