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Polynomial Long Division (Algebra 2)

Free printable Algebra 2 algebra worksheet on dividing higher-degree polynomials using long division, stating the quotient and remainder and writing the result as q(x) + r(x)/b(x).

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Algebra 2 · Math worksheet
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Algebra 2: Polynomial Long Division

Divide each polynomial using long division. State the quotient and the remainder, and write the result in the form q(x) + r(x)/b(x).

  1. 1.
    Divide using polynomial long division: (-4x⁴ - 8x³ + 4x² + 7x - 2) ÷ (x + 2)
  2. 2.
    Divide using polynomial long division: (x⁴ - 7x³ + 18x² - 27x - 27) ÷ (x² - 4x - 3)
  3. 3.
    Divide using polynomial long division: (-x³ + x² + 5x - 7) ÷ (x)
  4. 4.
    Divide using polynomial long division: (3x⁴ + 5x³ + 3x² - 2x - 8) ÷ (x² + 4)
  5. 5.
    Divide using polynomial long division: (-x³ - 8x² - 4x - 7) ÷ (x - 2)
  6. 6.
    Divide using polynomial long division: (x³ + x² - 5x - 5) ÷ (x² - 5)
  7. 7.
    Divide using polynomial long division: (4x³ - 4x² - 8x + 4) ÷ (x - 5)
  8. 8.
    Divide using polynomial long division: (3x⁴ - 2x³ - 8x² + 2x + 6) ÷ (x² - 3x + 3)
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