The Factor Theorem & Solving Polynomials

The Factor Theorem is a fundamental concept in algebra that plays a crucial role in understanding polynomials and their factors. This video provides a clear and comprehensive explanation of the Factor Theorem, demonstrating its use in solving polynomial equations and factoring expressions.

The video begins by explaining the Factor Theorem, which states that if a polynomial f(x) has a root at x = c, then (x - c) is a factor of the polynomial. You will learn how this theorem connects the roots of a polynomial to its factors, offering a powerful tool for simplifying and solving polynomial equations.

Step-by-step examples are presented to show how to apply the Factor Theorem to determine whether a given binomial is a factor of a polynomial. The video also covers how to use the theorem to find all the factors of a polynomial, which can then be used to solve for the roots or simplify the polynomial further.

Visual aids and practical exercises help reinforce the concepts, making it easier to understand and apply the Factor Theorem in different algebraic contexts. This video is ideal for students, teachers, and anyone looking to strengthen their algebra skills, providing the tools needed to confidently work with polynomials and their factors.

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