Real roots and variation of the constant term for a cubic polynomial

Calculus Level 4

Let P(x)=x3+x2+cP(x)=x^3+x^2+c a polynomial where cc is a real number. Then there is a finite interval II such that, P(x)P(x) has more than one real root if and only if cc is in II. If the length of II can be represented as a number of the form ab,\frac{a}{b}, where aa and bb are coprimes, then find a+b.a+b.


If you liked this problem you can try a related problem.
×

Problem Loading...

Note Loading...

Set Loading...