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Question

If a polynomial p(x) is of degree “n”, the graph of the polynomial should cut the X axis at “n” points.


Your Answer
A
True
Correct Answer
B
False

Solution

The correct option is B False
 Any polynomial of degree ‘n’ has at most ‘n’ real roots t​​​hat means the graph of the polynomial will cut the X axis at a maximum of n points.
For example x22x+1=0 has two roots (both coincident) but the graph of y=x22x+1 touches the X-axis in just one point.

Thus, it is not necessary that a polynomial of degree n must cut the X axis at n points.
 

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