Synthetic Division Concepts and Problems

The video tutorial explains how to perform synthetic division when dividing by X plus 3. It begins by introducing the concept and setting up the problem using negative three for the division. The coefficients of the dividend are listed, and the division process is demonstrated step-by-step. The tutorial concludes by interpreting the results, identifying the quotient as X plus five and the remainder as negative 19, which is expressed as a fraction over the divisor.

What value is used in synthetic division when dividing by X + 3?

• -1

• 3

• -3

• 1

What is the first step in performing synthetic division?

• Bring down the first coefficient

• Add the coefficients

• Multiply the divisor by the first coefficient

• Subtract the divisor from the first coefficient

What is the result of multiplying -3 by the first coefficient in this example?

• -3

• 0

• 3

• -8

What is the remainder when the division is complete?

• 0

• -15

• 5

• -19

What is the quotient obtained from the synthetic division?

• X - 3

• X - 5

• X + 5

• X + 3