Find all distinct integer solutions to the equation x^6+ 15x^5+ 81x^4+ 193x^3+ 198x^2+ 72x = 0
answer is not only 0.
Rational root theorem: All rational roots are factors of 72. Try plugging in simple numbers like 1 or 2 to get started.
\((x)(x+1)(x+3)(x+4)(x+6) = 0\)
The solutions are 0, -1, -3, -4, -6.