How do you use the rational root theorem to find the roots of #4x^3 - 3x^2 + x - 2 = 0#?
1 Answer
Sep 22, 2015
Use the rational zero theorem to find one root. Then factor (or divide) and find the other roots.
Explanation:
Possible rational roots:
By division or by stepwise analysis,
# = 4x^2(x-1)+x(x-1)+2x-2#
# = 4x^2(x-1)+x(x-1)+2(x-1)#
# = (x-1)(4x^2+x+2)#
The other two roots are roots of
The roots of the original equation are: