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Question 11
Which of the following is not the graph of a quadratic polynomial?


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Solution

For any quadratic polynomial ax2+bx+c,a0, the graph of the corresponding equation y=ax2+bx+c has one of the two shapes either open upwards like or open downwards like depending on whether a>0 or a<0.

These curves are called parabolas. So, option (d) is not a quadratic polynomial.
Also, the curve of a quadratic polynomial cuts the x-axis on at most two points but in option (d) the curve cuts the x-axis at three points. So it does not represent a quadratic polynomial.


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