The video tutorial explains how to apply synthetic division when the divisor is a linear polynomial. It covers setting up the division by rewriting the polynomial in descending order and using placeholders for missing terms. The process of synthetic division is demonstrated step-by-step, including handling coefficients and calculating the remainder. The tutorial also discusses interpreting the quotient and remainder, and verifying the results using the remainder theorem.

What is the first step in setting up synthetic division?

• Rewrite the polynomial in ascending order

• Add a placeholder for missing terms

• Set the divisor equal to zero

• Multiply all coefficients by the divisor

Why is it necessary to use placeholders for missing terms in synthetic division?

• To ensure all terms are accounted for

• To simplify the polynomial

• To make the division process faster

• To avoid using long division

What is the result of synthetic division if the remainder is zero?

• The polynomial has no real roots

• The division was performed incorrectly

• The polynomial is prime

• The divisor is a factor of the polynomial

How can you verify the result of synthetic division using the remainder theorem?

• By performing long division

• By substituting the zero into the original function

• By checking if the quotient is a factor

• By comparing with another polynomial

What should you do with the remainder after performing synthetic division?

• Multiply it by the divisor

• Put it over the divisor

• Add it to the quotient

• Ignore it