jmc

Question

A polynomial with integer coefficients is of the form x^3 + a_2 x^2 + a_1 x - 11 = 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 11 (including negative divisors), so they are -11, -1, 1, 11.