I need to write a polynomial in SIMPLEST FORM having roots 2,-2 and 4. I have to gt rid of the parentheses by multiplying everything out.Did I do it correctly? Also, someone said yes, but I'm wondering if it suppose to have anything else done to it-it seems way too easy the way I did it.

Question

I need to write a polynomial in SIMPLEST FORM having roots 2,-2 and 4. I have to gt rid of the parentheses by multiplying everything out.Did I do it correctly? Also, someone said yes, but I'm wondering if it suppose to have anything else done to it-it seems way too easy the way I did it.
(x-2)(x+2)(x-4)original problem 
1.x^2 + 2x-2x=x^2-4) 
2. (x^2-4)(x-4) 
3. x^3-4x^2-4x+16=0

Algebra II - Jessica, Thursday, September 22, 2011 at 3:17pm 
the first step should be x^2+2x-2x-4 = x^2-4(I forgot to put the (-4)

Algebra II - Steve, Thursday, September 22, 2011 at 3:47pm 
So far, so good.

(x^2-4)(x-4) = x^3 - 4x^2 - 4x + 16

You don't need an equation, just the polynomial.

Algebra II-Please recheck - Jessica, Thursday, September 22, 2011 at 4:31pm 
Is that in simplest form or am I suppose to do something else with it? It seems too easy-