benbaak benbaak
  • 01-11-2019
  • Mathematics
contestada

Find a cubic function with the given zeros. Square root of seven. , - Square root of seven. , -4

Respuesta :

rani01654 rani01654
  • 06-11-2019

Answer:

[tex]y= x^{3} +4x^{2}-7x-28[/tex]

Step-by-step explanation:

We have to find a cubic function of x whose zeros are at x = √7, x = -√7 and at x = -4.

Therefore, the factors of the function will be (x - √7), (x + √7), and (x + 4)

Hence, the equation will be y = (x - √7) (x + √7) (x + 4)

⇒ [tex]y = (x^{2} -7)(x +4)[/tex]

⇒ [tex]y= x^{3} +4x^{2}-7x-28[/tex] (Answer)

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