When Given a Polynomial & Its Factors Find All Zeros and Write as a Product of its Factors

The video tutorial covers solving polynomial equations with fractions using synthetic division. It explains the process of finding zeros, applying the division algorithm, and factorizing polynomials. The tutorial emphasizes the importance of obtaining a remainder of zero and demonstrates how to write a polynomial as a product of its factors, ultimately finding all zeros.

Explain the process of finding zeros of a polynomial using synthetic division.

What is the significance of having a remainder of 0 when applying synthetic division?

What is the relationship between the factors of a polynomial and its zeros?

How do you determine the factors of a polynomial when given one factor?

In the context of polynomial division, what does linear factorization mean?

What steps would you take to write a polynomial as a product of its factors?

Describe how to set a polynomial equal to zero to find its zeros.