How to apply synthetic division to divide polynomials

The video tutorial explains how to divide polynomials using synthetic division. It begins with an introduction to the method and sets up a sample problem. The instructor emphasizes the importance of using a linear binomial as the divisor and explains how to identify the zero of the divisor. The tutorial then walks through the steps of synthetic division, including setting up the coefficients and applying the algorithm. Finally, it interprets the results, explaining how to identify the quotient and remainder.

What type of binomial must be used in synthetic division?

• Quadratic binomial

• Trinomial

• Cubic binomial

• Linear binomial

What is the first step in the synthetic division process?

• Multiply the coefficients

• Divide the coefficients

• Bring down the first coefficient

• Add the coefficients

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

• Subtract it from the next coefficient

• Multiply it by the zero of the divisor

• Divide it by the zero of the divisor

• Add it to the next coefficient

What does a remainder of zero indicate in synthetic division?

• The polynomial is cubic

• The divisor is not a factor

• The divisor is a factor

• The polynomial is quadratic

How do you identify the quotient in synthetic division?

• By adding the original polynomial

• By using the coefficients from the division

• By multiplying the divisor

• By looking at the remainder