bre123416
bre123416 bre123416
  • 28-12-2020
  • Mathematics
contestada

what is the value of k such that x-1 is a factory of x^3-6x^2+2kx-3​

Respuesta :

prashant12345
prashant12345 prashant12345
  • 28-12-2020

let, f(x)= x^3 -6x^2 +2kx -3

since,x-1 is a factor of f(x).

Then,(1)^3-6×(1)^2+2k×1-3=0

or,1-6+2k-3=0

or,-8+2k=0

or,2k=8

or,k=4

Therefore,k=4.

(note:if there is any mistakes the suggest as I am also a human being)

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