The video tutorial explains how to apply synthetic division to divide a polynomial by a binomial. It begins with setting up the division by including necessary zeros for missing terms. The process involves using synthetic division to find the quotient and remainder, interpreting the results, and understanding the significance of each step. The tutorial provides a clear, step-by-step guide to solving a complex polynomial division problem using synthetic division.

What is the first step in setting up a synthetic division problem?

• Add zero coefficients for missing powers of X.

• Multiply the coefficients by the divisor.

• Set the divisor equal to zero and solve for X.

• Identify the highest power of X in the dividend.

When performing synthetic division, what do you do after bringing down the first coefficient?

• Divide it by the divisor's root.

• Subtract it from the next coefficient.

• Multiply it by the divisor's root.

• Add it to the next coefficient.

What is the result of multiplying -3 by -2 in the synthetic division process?

• Negative six

• Negative twelve

• Zero

• Positive six

How do you determine the remainder in synthetic division?

• It is the last number in the row of results.

• It is the product of the divisor and the last coefficient.

• It is the first number in the row of results.

• It is the sum of all coefficients.

What does the quotient represent in synthetic division?

• The original polynomial

• The divisor

• The polynomial formed by the coefficients obtained

• The remainder