Remainder/Factor Theorems lesson

A chance to use the Remainder Theorem and Factor Theorem in the context of a simple result from number theory that provides a motivation for the work. The acitivty proved to be happily effective with my AS students. This starter once again provides good practice, here in the use of the Remainder Theorem, with proving a conjecture as an end point in view to provide a motivation. The final result when viewed as a theorem might be scorned as ordinary, yet the proof of the Remainder Theorem itself can look fairly trivial at times, while it remains surprisingly useful.