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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.

 Feb 27, 2021
 #1
avatar+939 
+2

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.

 Feb 27, 2021

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