Problem
ALG-B1-M09-P004 Checking divisors
#4
★☆☆☆☆ Level 1 of 5
Prove that the polynomial \(x^3-4x+2\) has no integer roots.
An integer root must divide the constant term.
The possible integer roots are \(\pm1,\pm2\). Checking: \(1-4+2=-1\), \(-1+4+2=5\), \(8-8+2=2\), \(-8+8+2=2\). None is zero, so there are no integer roots.
It is important to check negative divisors as well.