Question 424653: use the given zero to find the remaining zeros of the function
h(x)=3x^4+7x^3+6x^2+28x-24; zero:-2i
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! use the given zero to find the remaining zeros of the function
h(x)=3x^4+7x^3+6x^2+28x-24; zero:-2i
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Use shythetic division to get:
2i)....3......7......6......28......-24
........3...7+6i...14i-6..-12i..|..0
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Quotient: 3x^3+(7+6i)x^2 + (14i-6)x -12i
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-2i)....3......(7+6i)......14i-6......-12i
........3.......7............-6....|..0
Quotient: 3x^2+7x-6 = 0
Factor to get:
3x^2+9x-2x-6 = 0
3x(x+3)-2(x+3) = 0
(x+3)(3x-2) = 0
x = -3 or x = 2/3
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Zeroes: 2i,-2i,-3,2/3
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Cheers,
Stan H.
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