Synthetic Division Practice Test

About This "Synthetic Division Practice Test"

This test develops complete synthetic-division fluency rather than repeating only remainder questions.

"Synthetic values, coefficient rows, quotient and remainder, missing terms, Factor Theorem, parameters, and dividend reconstruction."

Skills Covered

Synthetic values, coefficient rows, quotient and remainder, missing terms, Factor Theorem, parameters, and dividend reconstruction.

Key Ideas

1. Set the divisor equal to zero to obtain the synthetic number.
2. Insert zero coefficients for missing powers.
3. The final entry is the remainder; earlier entries form the quotient.
4. A zero remainder means the divisor is a factor.

Common Mistakes to Avoid

Do not use the sign printed in the divisor without solving it equal to zero, and never omit placeholders for missing powers.

Practice Format

Each question has four answer choices. The explanation shows the method, completes the work, states the conclusion, and explains why every distractor is incorrect.