P-is-apolynomial-from-C-n-x-having-n-roots-x-i-1-i-n-and-x-i-x-j-for-i-j-1-prove-that-i-1-n-1-p-x-i-0-2-find-i-1-n-x-i-k-p-x-i-with-k-

Question Number 28368 by abdo imad last updated on 24/Jan/18

P i s a p o l y n o m i a l f r o m C_{n} [x] h a v i n g n r o o t s

You can't use 'macro parameter character #' in math mode

1) p r o v e t h a t \sum_{i = 1}^{n} \frac{1}{p^{^{'}} (x_{i})} = 0

2) f i n d \sum_{i = 1}^{n} \frac{x_{i}^{k}}{p^{^{'}} (x_{i})} w i t h k \in [[0, n - 1]] .