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Let P (x ) be a quadratic polynomial wi...

Let `P (x ) ` be a quadratic polynomial with real coefficients such that for all real x the relation `2 (1+P (x)) =P (x -1) + P (x +1)` holds.
If `P (0) =8 and P (2) =32` then :
The sum of all the coefficient of `P (x)` is :

A

`20`

B

`19`

C

`17`

D

`15`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Put `x = 1`
`2(l + P(1)) = P(0) + P(2) rArr P(1) = 19`
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