# Choose the correct answer from the given four options in the following questions:Which of the following is not the graph of a quadratic polynomial?"

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To do:

We have to find which among the given is not the graph of a quadratic polynomial.

Solution:

We know that,

For a quadratic polynomial $ax^2 + bx + c, a≠0$, the graph of the corresponding equation $y = ax^2 + bx + c$ has one of the two shapes either open upwards like $U$ or open downwards like $∩$ depending on whether $a > 0$ or $a < 0$.

The curve of a quadratic polynomial crosses the X-axis at most at two points but in option (d) the curve crosses the X-axis at three points.

Hence, the graph in option(d) does not represent a quadratic polynomial.

Updated on 10-Oct-2022 13:27:08