Why does synethetic division different than long division

The video tutorial covers setting up and solving linear equations using long division, simplifying fractions, and identifying common mistakes. It explains problem-solving techniques, including long and synthetic division, and finding zeros through factorization. The tutorial concludes with writing linear factorization and verifying zeros, emphasizing the importance of understanding division techniques and their applications in algebra.

How do you determine if a number is a factor of a polynomial based on the remainder?

What are the zeros of the polynomial after performing the necessary divisions and factorizations?