Because the roots of a polynomial are related to the coefficients of its terms, we can resolve questions based on their relations. This will be explored in the videos at the bottom of the page! This is part of the Prelim Maths Extension 1 Syllabus from the topic Functions: Polynomials. In this post, we will explore Sums and products of roots of polynomials.
Here we will learn to examine the sign change of the function and shape of the graph either side of roots of varying multiplicity.