Problem
ALG-B1-M12-P005 Variant 2, Problem 1
#5
★★☆☆☆ Level 2 of 5
Find integer roots of \(x^3-4x^2-x+4\).
Group terms.
\(x^2(x-4)-1(x-4)=(x-4)(x-1)(x+1)\). Roots: \(4,1,-1\).
Mock olympiad problem. Tags: factorisation.