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.
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.
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