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Synthetic Division (Algebra 2)

Free printable Algebra 2 algebra worksheet on dividing a polynomial by a linear factor with synthetic division, giving the quotient and remainder.

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Algebra 2 · Math worksheet
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Algebra 2: Synthetic Division

Use synthetic division to divide each polynomial by the linear factor. State the quotient and the remainder.

  1. 1.
    Use synthetic division to divide (3x⁴ + 4x³ + 7x² + 8x - 1) ÷ (x + 3).
  2. 2.
    Use synthetic division to divide (-2x⁴ - x³ - 3x² - 7x + 9) ÷ (x - 2).
  3. 3.
    Use synthetic division to divide (4x⁴ - 9x³ + 7x² - 5x) ÷ (x - 1).
  4. 4.
    Use synthetic division to divide (-x³ + 6x² + 4x - 8) ÷ (x - 2).
  5. 5.
    Use synthetic division to divide (4x⁴ + 3x³ - 9x² - x - 8) ÷ (x - 5).
  6. 6.
    Use synthetic division to divide (3x³ - 6x² + 5x - 9) ÷ (x + 4).
  7. 7.
    Use synthetic division to divide (x⁴ + 7x³ - 8x² - 2x + 1) ÷ (x + 3).
  8. 8.
    Use synthetic division to divide (-x³ - 3x² + 5x) ÷ (x + 5).
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