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Polynomial Division & Roots Worksheet

Algebra 2 Math · printable worksheet (PDF) with answer key · 14 problems · CCSS HSA.APR.B.2, HSA.APR.B.3

A printable algebra 2 polynomial division & roots practice worksheet with 14 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

Divide using long or synthetic division, apply the Remainder and Factor Theorems, and use the Rational Root Theorem to find all real zeros. Give quotients and remainders exactly. Show your work in the space provided.

1. Divide using synthetic division: $(x^{2} - 7 x + 12) \div (x - 3)$ .
2. Divide using synthetic division: $(x^{3} + 2 x^{2} - 5 x - 6) \div (x + 1)$ . Give the quotient and remainder.
3. Divide using long division: $(3 x^{3} - 2 x^{2} + 5) \div (x - 2)$ . Give the quotient and remainder.
4. $(x^{4} - 3 x^{3} + 2 x - 6) \div (x - 3)$ . Give the quotient and remainder.

Plus 10 more problems and a full answer key in the PDF.

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