Now that we know a little bit about polynomials and functions, we can start to understand how we can express them using factors and remainders. This is part of the Prelim Maths Extension 1 Syllabus from the topic Functions: Polynomials. In this post, we will explore the Remainder and factor theorems division of polynomials.
Here we will learn to use division of polynomials to express
P(x)[\latex]
in the form P(x) = A(x) \times Q(x) + R(x)[\latex]
where the degree of R(x) [\latex]is greater than that of A(x)[\latex]
where A(x)[\latex] is a linear or quadratic divisor,
Q(x)[\latex] the quotient and R(x)[\latex] the remainder.
Let's explore this concept in the following videos.
Part 1
Part 2