Why and how do we apply synthetic division

The video tutorial covers the concepts of division and factoring, starting with basic examples of dividing numbers and factoring integers. It then transitions into polynomial factoring, explaining how to break down polynomials into binomials. The tutorial introduces synthetic division, detailing the process and its application in solving polynomial equations. The instructor provides a step-by-step guide on performing synthetic division, including handling remainders and interpreting results. The tutorial aims to enhance understanding of these mathematical concepts through practical examples and clear explanations.

What are the zeros of the polynomial X^2 + 5X + 4 as mentioned in the text?

What does it mean if there is a remainder when performing synthetic division?

Describe how to write the final answer after performing synthetic division.