Question 625084
Nice problem !!

Here is my answer

y= x^2 + mx + n

Zeros are: a and a^2

Sum of the zeros = -m

a+a^2 = -m

a(a+1) = -m  (equation 1)

product of the zeros = n

a^3 = n   (equation 2)


From eq 1)and 2)

(-m)^3 = a^3(a+1)^3 = n(a^3+3a^2+3a+1) = n(n-3m+1)

Then:  -m^3 = n(n-3m+1)

m^3 = n(3m-n-1)



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