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Are the following statements 'True' or 'False'? Justify your answers.
If the graph of a polynomial intersects the $ x $-axis at only one point, it cannot be a quadratic polynomial.
Given:
If the graph of a polynomial intersects the \( x \)-axis at only one point, it cannot be a quadratic polynomial.
To do:
We have to find whether the given statement is true or false.
Solution:
We know that,
A quadratic polynomial may touch the X-axis at exactly one point or intersects X-axis at exactly two points or does not touch the X-axis.
Therefore,
If the graph of a polynomial intersects the \( X \)-axis at only one point, then it cannot be a quadratic polynomial.
Hence, the given statement is true.
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