Synthetic division when quadratic divisor

This video tutorial explains how to perform synthetic division when the divisor is quadratic. It begins by discussing the limitations of synthetic division with linear denominators and introduces a workaround for quadratic divisors. The process involves factoring the quadratic into linear factors and performing synthetic division twice. The video provides detailed examples, demonstrating the algorithm and handling special cases like imaginary numbers. Finally, it shows how to write the results as polynomials, emphasizing the importance of using the quotient from the first division for the second round.

What is the workaround mentioned for performing synthetic division when the divisor is quadratic?

What is the main focus of the video regarding synthetic division?

Explain the process of factoring a quadratic expression to use synthetic division.

How do you handle a quadratic expression that cannot be factored easily?

Describe the steps involved in performing synthetic division with imaginary numbers.

What is the significance of the remainder in synthetic division?

Summarize the final polynomial obtained after performing synthetic division in the examples.