Dividing Polynomials using synthetic division

This video tutorial explains how to divide a binomial into a trinomial using synthetic division. It covers the setup process, including determining the K value, and provides a step-by-step guide to performing the division. The tutorial concludes with interpreting the results, including identifying the remainder and final answer.

What is the primary advantage of using synthetic division when dealing with a binomial in the form X - K?

• It provides a straightforward way to handle remainders.

• It is useful for dividing polynomials with missing terms.

• It allows for easier addition of terms.

• It simplifies the multiplication process.

In synthetic division, what is the first step after determining the value of K?

• Divide the first coefficient by K.

• Add K to the first coefficient.

• Drop down the first coefficient.

• Multiply K by the first coefficient.

When performing synthetic division, what should you do if a term is missing in the polynomial?

• Skip the term and continue.

• Repeat the previous coefficient.

• Use the next term's coefficient.

• Use zero as the coefficient for the missing term.

What does the last number in the synthetic division process represent?

• The remainder

• The constant term

• The linear term

• The divisor

How is the final answer expressed in synthetic division?

• As a product of the divisor and remainder

• As a sum of the quotient and remainder over the divisor

• As a quotient only

• As a difference between the quotient and remainder