SOLUTION: Find the roots of the polynomial equation. -x3 + 5x2

SOLUTION: Find the roots of the polynomial equation. -x3 + 5x2 - 11x + 55 = 0

Question 710719: Find the roots of the polynomial equation. -x3 + 5x2 - 11x + 55 = 0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the roots of the polynomial equation.
-x3 + 5x2 - 11x + 55 = 0
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I graphed it; x = 5 is a root.
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Use Synthetic division to find the 2 other roots:
5)....-1....5....-11....55
......-1...0.....-11...|..0
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Quotient: -x^2 - 11 = 0
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x = +sqrt(11), or x = -sqrt(11), or x = 5
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Cheers,
Stan H.
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