Question 705694
Neat! No minus signs!

Rational Roots Theorem suggests to try binomials of (x+2), (x+3), (x+6), or (x+12).


{{{(x^4 + 4x^3 + 7x^2 + 16x + 12)/(x+2)}}}=?


{{{(x^4 + 4x^3 + 7x^2 + 16x + 12)/(x+6)}}}=?


...anything else?