Further Pure 1: roots, rational functions, series and induction – Further Mathematics notes (Cambridge A Level)

Sums and products of roots (Σα, Σαβ, αβγ); symmetric functions; Sₙ = αⁿ + βⁿ + γⁿ using recurrence from the equation; transformations (y = 2x, y = x + 1, y = x²).