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If the graph of the quadratic polynomial is completely above or below the x-axis, then the nature of the polynomial root is ____________.

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Real

Distinct

Real and distinct

Complex

answer is D.

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Detailed Solution

The given graph is completely above or below the x-axis, hence it has no real root.

If a polynomial has real roots, then it cuts the x-axis. If the graph lies above or below x - axis, the roots are complex. 

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