crazydiana05
crazydiana05 crazydiana05
  • 28-03-2021
  • Mathematics
contestada

PLEASE HELP ITS AN EMERGENCYYYYYYYYYY!!!

Given f(x) = 3x^3 - 4x + k, and x – 1 is a factor of f(x), then
what is the value of k?

Respuesta :

joaobezerra joaobezerra
  • 02-04-2021

Answer:

The value of k is 1.

Step-by-step explanation:

x – 1 is a factor of f(x)

This means that:

x - 1 = 0

x = 1

That means that when [tex]x = 1, y = 0[/tex]. We use this to find the value of k.

f(x) = 3x^3 - 4x + k

[tex]3*1^3 - 4(1) + k = 0[/tex]

[tex]3 - 4 + k = 0[/tex]

[tex]k = 1[/tex]

The value of k is 1.

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