Quadratics Always Sometimes Never

An always-sometimes-never task exploring quadratic expressions and coefficients.

Quadratics Always Sometimes Never

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Answers

  1. Sometimes (true iff C > 0)
  2. Sometimes (true iff C = -8)
  3. Never (C²+8 > 2C for all C)
  4. Always (A = 2C)
  5. Sometimes (true iff A is even)
  6. Sometimes (true unless C = 0)
  7. Sometimes (true iff B = 8, otherwise A,C could be positive or negative)
  8. Never
  9. Always
  10. Always