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Q.

State whether the following statement is true or false.


It is not necessary for a polynomial to be quadratic if its graph contacts the x-axis at exactly two points.


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a

True

b

False 

answer is A.

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Detailed Solution

Given that the graph of the polynomial contacts the x-axis at exactly two points.
We know that the curve that intersects the x-axis at two points means that the roots of the quadratic equation are real and different.
If the equation is quadratic and if the roots are equal then it is possible that the curve is any higher order polynomial.
So, it is possible that the curve of a quadratic equation intersects at two points.
Therefore, the statement is true.
Hence, option (1) is correct.
 
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