Q: Let be a polynomial with degree no greater than 5.
Suppose that at some point
Prove that
My answer so far:
By a theorem that I learned in class today, I have -
Proof: Since is an open interval, and with , therefore between and such that
Now, I don't know how to prove equals to zero.
Am I on the right path?
Thank you.
KK
I don't quite understand this solution.
Yes, now I know all the a equals to zero, but how does that related to prove all equals to zero?
And in the assumtion, we only know that equals to zero for a GIVEN POINT , not for all x.
The professor today did suggest that we should use the theorem that I use above, what do you think? Would that be the easiest?
Thanks.
KK