CheddarCheese
New member
- Joined
- Oct 2, 2011
- Messages
- 4
Hi everyone, I seem to be having difficulty figuring out what the following question is asking from me:
"If x1, ... , xn are distinct numbers, find a polynomial function fi of degree n-1 which is 1 at xi and 0 at xj for j ≠ i."
I'm not sure what it's asking, or how to really interpret it. Could someone clear things up for me if possible?
There is an additional Hint which states: "The product of all (x - xj) for j ≠ i, is 0 at xj if j ≠ i." This is equally ambiguous to me.
Thanks!
"If x1, ... , xn are distinct numbers, find a polynomial function fi of degree n-1 which is 1 at xi and 0 at xj for j ≠ i."
I'm not sure what it's asking, or how to really interpret it. Could someone clear things up for me if possible?
There is an additional Hint which states: "The product of all (x - xj) for j ≠ i, is 0 at xj if j ≠ i." This is equally ambiguous to me.
Thanks!