Algebra 2 · Chapter 3 · Lesson 3.4 · Printable PDF

Polynomial Long Division Worksheet with Answer Key

7 problems on polynomial long division: dividing by a monomial, getting a quotient and remainder, writing the result as a polynomial plus a fraction, checking by multiplying back, a student's gap error, and a solar farm word problem. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Polynomial long division worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Divide, then say whether each result is a polynomial.
    \dfrac{14x^5 - 21x^3 + 7x}{7x}\dfrac{24m^4n^2 - 16m^3n^3 + 8m^2n}{8m^2n}\dfrac{10x^3 + 5x^2 - 3}{5x^2}
  2. Divide a cubic by a linear binomial, giving quotient and remainder.
  3. Divide a cubic by x minus 3 and write the result as a polynomial plus a fraction.
  4. Rebuild a polynomial from a divisor, quotient and remainder, then write the fraction form.
  5. Divide a fourth-degree polynomial by a quadratic and check by multiplying back.
  6. Find the mistake in Daniel's division where a term was lined up without a gap.
  7. Word problem: panels per row in Layla's solar farm.

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Polynomial long division: the lesson ›