Using the remainder theorem to confirm if you have a zero or not

The video tutorial explains how to use synthetic division to find function values and verify them using the remainder theorem. It demonstrates the process of synthetic division, emphasizing the importance of arranging terms in descending order and accounting for missing terms. The tutorial also highlights the verification of results by comparing the remainder from synthetic division with the value obtained by plugging the suspected zero into the function. The key takeaway is that both methods should yield the same remainder, ensuring the accuracy of the solution.

What does it mean if the remainder from synthetic division is zero, and how does that relate to the polynomial's roots?

How can you verify the results of synthetic division using the function itself?