factorisation patterns, the quadratic formula and discriminant, the remainder, factor and rational root theorems and the null factor law
express a cubic polynomial p x( ), with integer coefficients, in the form 𝑝(𝑥) = (𝑥 − 𝑎)𝑞(𝑥) + 𝑟 and determine p(x)/(x-a), by hand