Question

If P(k) is a polynomial of degree 8 and P(k) = 1/k for k = 1,2 ,3,4.........9 then find the value of P(10)

Answer 1

just sub 10 in for K?

Answer 2

that will not work..

Answer 3

2 contradictory statements in the question.

Answer 4

what was that

Answer 5

Hmm, how can a polynomial of degree 8 also be equal to k^-1 for those values of k?

Answer 6

let me tell you what I understand the problem, If it's right, I continue, if it's wrong, sorry for wasting your time
that is: P(k) is coefficient of polynomial degree 8 which form:
\[F(x) = \sum_{k=0}^{8}P(k) x^k\] in which , \[P(k) = \frac{ 1 }{ k }\]

Answer 7

so, you just find the coefficient of x^10 . that is 0 since you have just 9 terms in sum.