If f ( x) = x^(3) + x^(2) f' (1) + xf''...

If ` f ( x) = x^(3) + x^(2) f' (1) + xf'' (2) + f''' (3) ` for all ` x in R ` then f (x) = a)` x^(3) + x + 2 ` b)` x^(2) - 3 x + 2 ` c)` x ^(3) - 5 x ^(2) + 6 x + 2 ` d)` x^(3) - 5 x ^(2) + 2 x + 6 `

A

` x^(3) + x + 2 `

B

` x^(2) - 3 x + 2 `

C

` x ^(3) - 5 x ^(2) + 6 x + 2 `

D

` x^(3) - 5 x ^(2) + 2 x + 6 `

Verified by Experts

The correct Answer is:

D

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