Divide using synthetic division and check with remainder theorem

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