How to divide polynomials using synthetic division

The video tutorial explains synthetic division, a method that simplifies polynomial division compared to long division. It highlights the conditions necessary for using synthetic division, such as having a linear binomial divisor. The tutorial guides viewers through setting up the division process, including arranging the dividend in standard form and using coefficients. It then details the step-by-step process of performing synthetic division and interpreting the results, emphasizing the importance of understanding remainders and the final answer.

How do you determine the number to use for synthetic division from the divisor?

What is the significance of the last term in the synthetic division process?

Can you provide an example of a polynomial that cannot be divided using synthetic division? Explain why.