The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.
Assertion (A) | Reason (R) |
If (x – 2) is a factor of | If p(x) is divided by (x – a), then the remainder is p(a). |
The correct answer is: (B)
We have,
p (x) = x3 – 2x + 3k
(x – 2) is a factor of p (x)
∴ p (2) = 0
(2)3 – 2 (2) + 3k = 0
8 – 4 + 3k = 0
4 + 3k = 0
3k = - 4
k =
Hence, both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
∴ Option B is correct