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22-05-2021
Mathematics

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A fourth degree polynomial has real roots at 0, 3, a double real root at -1, and passes through the point
(2, 12). Write the particular equation of the function

Respuesta :

jcherry99 jcherry99

22-05-2021

Answer:

Step-by-step explanation:

y = a * x(x - 3)(x + 1)^2

2,12 is used to find the value of a

y = a (2)(2 - 3)(2 + 1)^2

12 = a (2)(-1)(3)^2

12 = a (2) (-1) (9)

12 = - 18*a

12/-18 = a

a = - 2/3

y = (-2/3)*x*(x - 3)(x + 1)^2

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