Dividing two polynomials using synthetic division

This video tutorial explains how to divide polynomials using synthetic division. It begins with an introduction to the concept, emphasizing the need for a linear divisor. The tutorial then guides viewers through setting up the division process, including identifying coefficients and handling missing terms. The main section details the step-by-step execution of synthetic division, highlighting the importance of adding vertically instead of subtracting. Finally, the video covers how to interpret the results, including the quotient and remainder, and how to express the remainder over the divisor.

What is the main requirement for the divisor in synthetic division?

• It must be a quadratic polynomial.

• It must be a linear polynomial.

• It must be a constant.

• It must be a cubic polynomial.

What is the first step in setting up synthetic division?

• Subtract the coefficients.

• Add the coefficients.

• Set the divisor equal to zero.

• Multiply the coefficients.

How do you handle missing terms in the polynomial during synthetic division?

• Ignore them.

• Add a zero for the missing term.

• Subtract them from the divisor.

• Multiply them by zero.

In synthetic division, what operation is performed instead of subtraction?

• Addition

• Multiplication

• Exponentiation

• Division

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

• The dividend

• The quotient

• The remainder

• The divisor