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@ Arpan1
ur solution is wrong....the maximum and minima existence does not depend on the nature of roots.....for eg x^3 - 6x^2 + 11x + 100 will have only one real root but it still has two extrema...
to prove that there are no extrema, take its derivative which will be 3x^2 + 2x + 1...this polynomial has no real roots...hence, no extrema
this is the correct proof
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