Q 1255045864.     If `p(x)` be a polynomial of degreed `4` having extremum at `x = 1, 2` and `lim_(x→0) (1+ (p(X))/x^2) = 2`. Then find the value of ` p(2)` .

JEE 2000
A

`3`

B

`2`

C

`1`

D

`0`

HINT

Let `p (x) = ax^4 + bx^3 + cx^2 + dx + e` having extremum at `x = 1, 2` so ` p ′(1) =0` & ` p ′(2) =0`

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