The video tutorial covers the setup and execution of synthetic division, emphasizing the importance of writing polynomials in standard form and handling missing terms. It explains the step-by-step process of synthetic division, highlights common mistakes, and demonstrates how to interpret the remainder. The tutorial also introduces the remainder theorem as a method to verify division results.

Why is it important to write polynomials in standard form before performing synthetic division?

• To avoid using synthetic division

• To ensure the correct potential zero is used

• To make the polynomial look neat

• To make the polynomial longer

What should you do if a polynomial is missing terms during synthetic division?

• Use a different method

• Ignore the missing terms

• Add zeros for the missing terms

• Skip the division

In synthetic division, what is the first step after setting up the division?

• Divide the first term by the divisor

• Add all coefficients together

• Bring down the first coefficient

• Multiply the first term by the divisor

How does the remainder theorem help in verifying the result of synthetic division?

• It shows the polynomial is a factor

• It confirms the remainder is zero

• It provides the same value when the potential zero is plugged back into the polynomial

• It simplifies the polynomial

What does the remainder theorem state about the remainder when a value is plugged back into the polynomial?

• The remainder will be negative

• The remainder will always be zero

• The remainder will match the value obtained from synthetic division

• The remainder will be the same as the value plugged in