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.

AcademicMathematicsNCERTClass 10

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.

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

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