Mathematics
Mathematics
Problem
The polynomial is to be analysed. a. (i) Factorise . b. (ii) Write its zeros in ascending order.Intuitive explanation
This is about finding the roots of a cubic polynomial and understanding its structure. The key insight is that you can often factor a cubic by testing small integer values (the rational root theorem suggests trying factors of the constant term). Once you find one root, you can divide it out to get a quadratic, which is much easier to solve. This transforms a hard cubic problem into a manageable one.
Intuitive explanation
This is about finding the roots of a cubic polynomial and understanding its structure. The key insight is that you can often factor a cubic by testing small integer values (the rational root theorem suggests trying factors of the constant term). Once you find one root, you can divide it out to get a quadratic, which is much easier to solve. This transforms a hard cubic problem into a manageable one.