The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.
Assertion (A) | Reason (R) |
If (x – 1) is a factor of | If (x – a) is a factor of p(x), then p(a) = 0. |
then k = - 2The correct answer is: (a)
We have,
p (x) = x2 + kx + 1
(x – 1) is a factor of p (x)
∴ p (1) = 0
(1)2 + k (1) + 1 = 0
1 + k + 1 = 0
2 + k = 0
k = - 2
Hence, both Assertion (A) and Reason (R) are true also Reason (R) is the correct explanation of Assertion (A)
∴ Option A is correct
49