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AHSME 1975 Problem 13

    The equation x6−3x5−6x3−x+8=0x^6 - 3x^5 - 6x^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}

    Dataset text NuminaMath-1.5. Quoted with source.

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