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For what value of k the HCF of x^(2) + x...

For what value of k the HCF of `x^(2) + x + (5k -1) and x^(2) - 6x + (3k + 11) "is " (x -2)` ?

A

2

B

2

C

`-2`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Use factor theorem
(ii) If `x -a` is HCF of f(x), then f(a) = 0
(iii) Substitute `x = 2` in f(x) or g(x) and obtained the value of k
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