Learn how to divide two polynomials using synthetic division

The video tutorial demonstrates how to apply synthetic division to divide a polynomial by a binomial. It begins by identifying the zero of the divisor and setting up the dividend in ascending order. The process of synthetic division is then carried out step-by-step, with emphasis on bringing down coefficients and performing calculations. Finally, the video explains how to interpret the quotient and remainder, providing a complete understanding of the division process.

What is the first step in synthetic division when you have a divisor like X + 2?

• Set the divisor equal to zero to find the zero

• Subtract the divisor from the dividend

• Add the coefficients of the dividend

• Multiply the divisor by the dividend

How should the dividend be rewritten before starting synthetic division?

• In descending order of powers

• With all coefficients set to zero

• In ascending order of powers

• With only the highest power term

What is the first coefficient you bring down in synthetic division?

• The coefficient of the quadratic term

• The coefficient of the linear term

• The coefficient of the highest power term

• The coefficient of the constant term

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

• Multiply it by the zero of the divisor

• Add it to the next coefficient

• Divide it by the divisor

• Subtract it from the next coefficient

How is the remainder expressed in the final result of synthetic division?

• As a constant term in the quotient

• As a separate term added to the quotient

• As a factor of the divisor

• As a coefficient of the highest power term