Which of the following is not the graph of a quadratic polynomial

Solution:

For any quadratic polynomial ax² + bx + c, where a ≠0 the graph of the corresponding equation y = ax² + bx + c has one of the two shapes either open upwards like U or open downwards like inverted U (i.e. ∩) depending on whether a > 0 or a < 0.

In other words, the graph of a quadratic polynomial is a parabola.

A quadratic polynomial has less than or equal to two roots.

From the given options,

In Option D, the curve crosses the x-axis on three points.

This implies it has more than 3 roots, so it does not represent the quadratic polynomial.

Therefore, option D cannot be the graph of a quadratic polynomial.

✦ Try This: The graph of a quadratic polynomial is ___?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 2

NCERT Exemplar Class 10 Maths Exercise 2.1 Problem 11

Which of the following is not the graph of a quadratic polynomial

Summary:

Option D is not the graph of a quadratic polynomial.

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