Find a method by which one can compute the coefficients of
from the roots of
by performing not more than
additions and
multiplications.
%V0
Find a method by which one can compute the coefficients of $P(x) = x^6 + a_1x^5 + \cdots+ a_6$ from the roots of $P(x) = 0$ by performing not more than $15$ additions and $15$ multiplications.
Školjka