2008 iTest Problems/Problem 53
Revision as of 00:00, 13 July 2018 by Rockmanex3 (talk | contribs) (Solution to Problem 53 -- no worrying about most of the terms!)
Problem
Find the sum of the roots of
.
Solution
Because of Vieta's Formulas, if we know the coefficient of the and
term, we can find the sum of all the roots. The coefficient of the
term is easy to find -- it's
. Using the Binomial Theorem in
, the coefficient of the
term is
. Thus, by Vieta's Formulas, the sum of all
roots is
.
See Also
2008 iTest (Problems) | ||
Preceded by: Problem 52 |
Followed by: Problem 54 | |
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