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If the graph of the quadratic polynomial is completely above or below the x-axis, then the nature of roots of the polynomial is _____(a) Real and Distinct(b) Distinct(c) Real(d) ComplexI had been asked this question in an online quiz.Enquiry is from Geometrical Meaning of Zeros of Polynomial in portion Polynomials of Mathematics – Class 10

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Right answer is (d) Complex

For explanation I WOULD say: Since, the graph is completely above or below the x-axis, HENCE, it has no REAL roots. If a polynomial has real roots only then it cuts the x-axis. If it lies above or below, the roots are complex in NATURE.



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