Question

find the answer of this question
For what value of ‘k’, p(x) = x2 – 2kx + 1/2(8k – 8) is divisible by (x – 2)
(a) k = 0
(b) k = for no values of k
c) k∊N
d) k∊R ​

Answer 1

Given :  p(x) = x² – 2kx + 1/2(8k – 8) is divisible by (x – 2)

To find :  for  what value of ‘k’

Solution:

p(x) = x² – 2kx + 1/2(8k – 8) is divisible by (x – 2)

x – 2 = 0

=> x = 2

=> p(2) = 0

Hence putting value x = 2

P(2) = 2² – 2k*2 + 1/2(8k – 8)   = 0

=> 4 - 4k  + 4k - 4 =  0

=> 0  

independent of  k

so k ∊  R ​  

option d is correct

d) k∊R ​

Learn more:

the three degree polynomial f(x) has roots of the equation 3, -3 and ...

https://brainly.in/question/13043659

the polynomial a x cube minus 3 X square + 4 and 2 x cube minus 5 ...

https://brainly.in/question/9705314