A polynomial p(x) of degree n satisfies p(0) = 0, p(1) = 1/2, p(2) =2/3, ... , p(n) = n/(n+1). Find p(n+1).

A polynomial p(x) of degree n satisfies p(0) = 0, p(1) = 1/2, p(2) = 2/3, ... , p(n) = n/(n+1). Find p(n+1).

A.
1 if n is odd
B.
n/(n+2) if n is even
C.
at least one out of a) and b)
D.
both a) and b)
E.
none of these

Correct Answer : D

Realated Questions

There is certain numbers of toys in the box. They are divided into such a way that the person who gets 1/4 of the whole gets thrice of what the others get on an average. Find the number of people amongst whom the toys are distributed?
Manish, Rahul and Bharti have some stones with each of the. Five times the number of stones with Rahul equals seven times the number of stones with Manish while five times the number of stones with Manish equals seven times the number of stones with Bharti. What is the minimum number of stones that can be there with all three of them put together?
A company manufactures pencils in boxes of 6, 9, and 20. The boxes are sealed and the pencilscannot be sold loose. What is the largest number of pencils that a wholesaler cannot purchaseusing some combination of these boxes?