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If the graph of a quadratic polynomial lies entirely above the x-axis, then which one of the following is correct?
  • a)
    Both the roots are real
  • b)
    One root is real and the other is complex
  • c)
    Both the roots are complex
  • d)
    Cannot say
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the graph of a quadratic polynomial lies entirely above the x-axis,...
If graph of quadratic lies entirely above x-axis then D  > 0. So, both roots are complex.
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If the graph of a quadratic polynomial lies entirely above the x-axis, then which one of the following is correct?a)Both the roots are realb)One root is real and the other is complexc)Both the roots are complexd)Cannot sayCorrect answer is option 'C'. Can you explain this answer?
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