Real roots are demanded!

Algebra Level 4

For some real number kk independent of xx, the polynomial f(x)=2x3−9x2+12x−kf(x) = 2x^{3}-9x^2+12x-k have all real roots.

Given that m<k<nm<k<n, find the value of mn(n−m)mn(n-m) .

Harsh Shrivastava by Harsh Shrivastava
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