SOLUTION: Solve the polynomial equation by factoring and using the zero product principle. I have solved simpiler versions but I'm having a hard time understanding how to attack this one.
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: Solve the polynomial equation by factoring and using the zero product principle. I have solved simpiler versions but I'm having a hard time understanding how to attack this one.
Log On
Question 237943: Solve the polynomial equation by factoring and using the zero product principle. I have solved simpiler versions but I'm having a hard time understanding how to attack this one.
X^3-2X^2-X+2=0 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! X^3-2X^2-X+2=0
---
Factor the 1st two and the last two terms separately.
----
x^2(x-2)-(x-2) = 0
(x-2)(x^2-1) = 0
(x-2)(x-1)(x+1) = 0
x = 2 or x = 1 or x = -1
=============================
Cheers,
Stan H.
(