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Subtract 8 from both sides. List the possible rational roots and use synthetic division.

what is synthetic division?

|dw:1358823297466:dw|

still confused as to what that was.... please re-explain. I don't understand the image.

Perhaps you have never studied synthetic division. What class are you taking?

divide that polynomial by (x-2)

Alg 2 and trig

I will tell you why I told you to divide by x-2

You have to test a number in that polynomial so that x^3-x^2+x-8=0 is true.

It won't do any good to divide by x-2 since x-2 is not a factor.

if you substitute 2 for x then you get 0=0 which means 2 is a root of that polynomial.

Check your work Azteck. 2 is NOT a root

Ah yes. You're right.

hey.. guys?! I'm still really confused as to how I'm supposed to solve this...

There is one real root of approximately 2.2 and 2 complex roots. That's from Wolfram

So perhaps you could solve it with a graphing calculator.

Are you allowed to use technology?

um... I still don't understand how to find x myself... without wolframalpha...

But I have to solve it algebraically

Sorry. I can't help you with that. Better page Satellite73

He's the brains of this outfit.

could you shoot him a message for me, I've not come accross him so I can't contact him.

He will get to you now.

or later*

shoot. He doesn't accept messages from anyone he hasn't fanned :(