AMC 12B 2023 (Problem 14)
PolynomialsMedium
For how many ordered pairs of integers does the polynomial have distinct integer roots?
Core
The roots must be three distinct integers whose product is .
Hence, the possible unordered triples and their corresponding values of and are
These give distinct ordered pairs .
Hence, the possible unordered triples and their corresponding values of and are
These give distinct ordered pairs .
(A)