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1975 AMC 12 Question 13

AMC12 · 1975 AMC 12

Question 13

The equation $x^6-3x^5-6x^3-x+8=0$ has
  1. no real roots
  2. exactly two distinct negative roots
  3. exactly one negative root
  4. no negative roots, but at least one positive
    root
  5. none of these