SMO Junior · 3. Polynomials, Vieta's formulas and sequences
Add long progressions quickly, telescope, read polynomials through special values, use Vieta instead of solving, and tame recursive sequences.
Sum arithmetic progressions and telescoping sums correctly.
Use special values, the remainder theorem and the factor theorem.
Apply Vieta's formulas to symmetric expressions and power sums.
Find formulas or periods of recursive sequences and prove them.