further pure

TOP TIP: Root three in this Further Pure 2 exam betrays presence of 30 or 60 degree angles in this complex numbers question. All maths students should know exact values of 30, 45 and 60 degree angles – they come up so much. See my exam bucket http://jped.co.uk/ExamBucket/exambucket.php, for this FP2 2014 and many others.

Summary of parabola facts, worthy of Victorian text book, attempts to exhaust obvious question contexts in Further Pure and STEP. Prove them!

Polynomial rule requires subtle proof by induction to establish it’s truth.  One for students of STEP or Further Pure mathematics.  Not sure this is the most elegant expression of this proof. Inspired by Carr’s Synopsis of Elementary Results in Mathematics.