# Are the following statements 'True' or 'False'? Justify your answers.If the graph of a polynomial intersects the $x$-axis at exactly two points, it need not be a quadratic polynomial.

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Given:

If the graph of a polynomial intersects the $x$-axis at exactly two points, it need not be a quadratic polynomial.

To do:

We have to find whether the given statement is true or false.

Solution:

We know that,

If the graph of a polynomial intersects the X-axis at exactly two points, then it may or may not be a quadratic polynomial.

A polynomial of degree more than 2 is also possible which intersects the X-axis at exactly two points when it has two real roots and other imaginary roots.

Hence, the given statement is true.

Updated on 10-Oct-2022 13:27:09