AleeFriaas
AleeFriaas AleeFriaas
  • 21-09-2018
  • Mathematics
contestada

Find a Cubic function with zeros 3, -4, and 6

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tramserran
tramserran tramserran
  • 21-09-2018

x = 3             x = -4                  x = 6

x - 3 = 0        x + 4 = 0            x - 6 = 0

           (x - 3)(x + 4)(x - 6) = 0

           (x² + x - 12)(x - 6) = 0         (x - 3)(x + 4) =  x² + 4x - 3x - 12  =  x² + x  - 12

x³ - 6x² + x² - 6x - 12x + 72 = 0

x³     - 5x²          -18x    + 72 = 0    

Answer: x³ - 5x² - 18x + 72 = 0

           

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