Factor Theorem

The video tutorial covers the concept of divisibility and polynomial factorization, starting with a simple example of distributing pencils and candies. It introduces the remainder and factor theorems, providing proofs and applications. The tutorial explains how to determine if a polynomial is a factor of another without division, using the factor theorem. It also covers techniques for factorizing quadratic polynomials and provides step-by-step guidance on polynomial factorization. Advanced examples are included to illustrate the application of these concepts.

How do you factor a quadratic polynomial using the method of splitting the middle term?

Explain how to find all possible factors of the constant term in a polynomial.

What is the relationship between the degree of a polynomial and the number of its linear factors?

What is the process to verify if X - 1 is a factor of the polynomial X^3 - 4X^2 - X + 4?