Home Competitions AHSME 1975 Problem 13
The equation x 6 − 3 x 5 − 6 x 3 − x + 8 = 0 x^6 - 3x^5 - 6x^3 - x + 8 = 0 x 6 − 3 x 5 − 6 x 3 − x + 8 = 0 has
(A) no real roots (B) exactly two distinct negative roots (C) exactly one negative root (D) no negative roots, but at least one positive root (E) none of these \textbf{(A)} \text{ no real roots} \\ \textbf{(B)} \text{ exactly two distinct negative roots} \\ \textbf{(C)} \text{ exactly one negative root} \\ \textbf{(D)} \text{ no negative roots, but at least one positive root} \\ \textbf{(E)} \text{ none of these} (A) no real roots (B) exactly two distinct negative roots (C) exactly one negative root (D) no negative roots, but at least one positive root (E) none of these
Dataset text NuminaMath-1.5 . Quoted with source.
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