find the roots of the polynomial equation -x^3+5x^2 - 11x+55=0

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02-02-2016
Mathematics

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find the roots of the polynomial equation -x^3+5x^2 - 11x+55=0

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Panoyin Panoyin · Answer 1 · 2016-02-02T00:28:59+01:00

  x³ + 5x² - 11x + 55 = 0
x²(x) + x²(5) - 11(x) - 11(5) = 0
  (x²(x + 5) - 11(x + 5) = 0
(x² - 11)(x + 5) = 0
x² - 11 = 0     or        x + 5 = 0
+ 11 + 11 - 5 - 5
x² = 11 or x = -5
  x = ±√(11) or x = -5

THere are three roots in the polynomial equation.