Question 41959
For 6x^4 - 7x^3 + 8x^2 - 7x + 2 = 0,
we list the rational root possibilities as
±1, ±2, ±1/6, ±1/3, ±1/2, and ±2/3
and try each one via synthetic substitution...
Turns out there are two rational solutions...
x = 2/3 and x = 1/2