Question 188383: Find all zeros of the polynomial equation
x3-2x2+10x+136=0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find all zeros of the polynomial equation
x^3-2x^2+10x+136=0
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I graphed it and found x=-4 is a zero.
Use synthetic division to find the other zeroes.
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-4)....1....-2....10....136
.........1....-6....34...|..0
Quotient: x^2 - 6x + 34
Use the quadratic formula to find remaining zeroes.
x = [6 +- sqrt(36 -4*1*34)]/2
x = [6 +- sqrt(-100)]/2
x = [6 +- 10i]/2
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Zeroes are x = -4, x = (3+5i), x = (3-5i)
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Cheers,
Stan H.
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