| (m 3−3m 2−4m+8) |
| (m 3−2m 2) |
=
| 1−(4m−8) |
| m3−2m2 |
| 1−4(m−2) |
| m2(m−2) |
=1-
| 4 |
| m2 |
x为整数，x1+x2也为整数，
m=±1，x1+x2=-3； m=±2，x1+x2=0
x1x2=
| 12−4m |
| m3−2m2 |
当m=1，
x1x2=-8
当m=-1，
x1x2=-
| 16 |
| 3 |
当m=2，
x1x2=0
当m=-2，
x1x2=−
| 5 |
| 4 |
故实数m的值应为1或2．
| (m 3−3m 2−4m+8) |
| (m 3−2m 2) |
| 1−(4m−8) |
| m3−2m2 |
| 1−4(m−2) |
| m2(m−2) |
| 4 |
| m2 |
| 12−4m |
| m3−2m2 |
| 16 |
| 3 |
| 5 |
| 4 |