SOLUTION: f(x)=x^3-3x^2-6x+8 find all the solutions and indicate the number of imaginary solutions if any

Algebra ->  Test -> SOLUTION: f(x)=x^3-3x^2-6x+8 find all the solutions and indicate the number of imaginary solutions if any      Log On


   

Question 753682: f(x)=x^3-3x^2-6x+8 find all the solutions and indicate the number of imaginary solutions if any
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=x^3-3x^2-6x+8 find all the solutions and indicate the number of imaginary solutions if any
----
The coefficients add up to zero so x = 1 is a root.
Use synthetic division to find the other roots.
------------------
1)....1....-3....-6....8
......1....-2....-8..|..0
--------
Find roots of the Quotient:
x^2 - 2x -8 = 0
(x-4)(x+2) = 0
x = 4 or x = -2 or x = 1
============================
Cheers,
Stan H.