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Finding All Real Zeros of a Polynomial (Algebra 2)

Free printable Algebra 2 algebra worksheet on factoring higher-degree polynomials completely and finding all of their real zeros.

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Algebra 2 · Math worksheet
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Algebra 2: Finding All Real Zeros of a Polynomial

Factor each polynomial completely and find all of its real zeros. List every zero (a repeated factor still gives one zero value).

  1. 1.
    Find all real zeros of P(x) = x³ + x² - 9x - 9.
  2. 2.
    Find all real zeros of P(x) = x⁴ + 2x³ - 19x² - 32x + 48.
  3. 3.
    Find all real zeros of P(x) = x³ + x² - 14x - 24.
  4. 4.
    Find all real zeros of P(x) = 3x⁴ - 26x³ + 77x² - 94x + 40.
  5. 5.
    Find all real zeros of P(x) = x³ + 4x² - 9x - 36.
  6. 6.
    Find all real zeros of P(x) = 2x³ - 7x² - 7x + 30.
  7. 7.
    Find all real zeros of P(x) = x⁴ - 5x³ - 2x² + 24x.
  8. 8.
    Find all real zeros of P(x) = 2x⁴ - 3x³ - 37x² + 48x + 80.
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