jmc

Question

A polynomial with integer coefficients is of the form 3x^3 + a_2 x^2 + a_1 x - 6 = 0.Enter all the possible integer roots of this polynomial, separated by commas.

Accepted Answer

By the Integer Root Theorem, the possible integer roots are all the divisors of 6 (including negative divisors), so they are -6, -3, -2, -1, 1, 2, 3, 6.