If , for all x, what is the value of ?

If image, for all x, what is the value of image?


(A) −2
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set C: Defined Function

 
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If , for all x, what is the value of ? 
Posted: 06/03/2014 10:11
I follow it up to where the brackets around the "(x^2 -2x)" are taken out, why does the "2x" go from negative to positive when the brackets are eliminated?
Arcadia
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Posted: 06/10/2014 10:48
Miranda, "2x" goes from negative to positive, because of the negative sign in front of the bracket. Think of the negative sign in front of any bracket as -1. -1 multiplies into -x^2 and -2x, resulting in -x^2 + 2x.