Polynomial Long Division Practice Test
20 polynomial long-division questions with quotient, remainder, and verification steps.
Divide polynomials, track missing powers, interpret remainders, and verify results with division identities.
20 polynomial long-division questions with quotient, remainder, and verification steps.
This test focuses on the full divide–multiply–subtract–bring-down process used in polynomial long division. It includes divisors of degree one and two, exact divisions, nonzero remainders, and dividends with missing powers.
Several questions also test the division algorithm, quotient degree, reconstruction of a dividend, and the use of the Remainder Theorem to verify a result.
Ordering polynomials, inserting zero placeholders, dividing leading terms, subtracting aligned powers, expressing quotient and remainder, and checking Dividend = Divisor·Quotient + Remainder.
Do not misalign powers, stop while the remainder degree is still too large, lose signs during subtraction, or report only the quotient when a remainder remains.
Every solution states the quotient or remainder and explains the specific long-division error represented by each distractor.