22icshellg408 22icshellg408
  • 02-07-2021
  • Mathematics
contestada

Which polynomial function has x-intercepts –1, 0, and 2 and passes through the point (1, –6)

Respuesta :

AliceBrainly21
AliceBrainly21 AliceBrainly21
  • 13-07-2021

Answer:

y=3x(x+1)(x-2)=3x^3-3x^2-6x

Step-by-step explanation:

The polynomial function can be written in the form:

y=a(x-x1)(x-x2)(x-x3)

where

x1=-1

x2=0

x3=2

Therefore

y=a(x+1)(x-0)(x-2)=a(x^2+x)(x-2)=a(x^3-x^2-2x)

To find the value for "a" we use the info about the line passing in (1,-6):

-6=a(1-1-2)

a=3

y=3x(x+1)(x-2)=3x^3-3x^2-6x

Answer Link
gracebell616 gracebell616
  • 16-12-2021

Answer:

f(x) = 3x3 - 3x2 - 6x

Good luck! :D

Step-by-step explanation:

Answer Link

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