# 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

#### Answer:

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: