novacooper43 novacooper43
  • 17-03-2021
  • Mathematics
contestada

A polynomial P has zeros when x=0, x=-1/6 and x=-3 Whats could be the equation p?

Respuesta :

reeserl reeserl
  • 17-03-2021

Answer:

P(x) = [tex]x^{3}[/tex] + [tex]\frac{19}{6} x^{2}[/tex] + [tex]\frac{1}{2} x[/tex]

Step-by-step explanation:

x(x + 1/6)(x + 3) = P

x([tex]x^{2}[/tex] + 3x + 1/6(x) + 1/2) = P

x ([tex]x^{2}[/tex] + 19/6(x) + 1/2) = P

[tex]x^{3}[/tex] + [tex]\frac{19}{6} x^{2}[/tex] + [tex]\frac{1}{2} x[/tex] = P(x)

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