question is :

Asked by spuneet23 | 16th Oct, 2010, 11:14: AM

Expert Answer:

Dear Student,
It does depend whether either 'a' or 'b' is also one of the root.
If neither of them is a root,
then the interval can contain atmost k roots of p'(x) = 0;
You can judge it from the diagram below:
The circle represents the real roots of p(x) and the horizontal lines represent the real roots of p'(x) =0;
both are equal to 4.

Answered by  | 19th Oct, 2010, 10:37: AM

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