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A factored polynomial reveals its roots, a key concept in understanding the behavior of these expressions.

Determine the number of sign changes in

\[M(x) = x^6 + x^5 + x - 2.\]

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\[ T(x) = x^4 + x^3 - x^2 - 1 \]

By determining the types sign changes in \(T(x)\) and \(T(-x)\), determine the number of non-real complex roots of \(T(x) \).

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Is there any negative root to the polynomial

\[U(x) = x^7 + x- 7 ?\]

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