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If $f(x)$ and $g(x)$ are polynomials such that $f(x) + g(x) = -2 + x,$ then what is $g(x)$ if $f(x) = x^3 - 2x - 2$?

 Aug 1, 2018
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If $f(x)$ and $g(x)$ are polynomials such that $f(x) + g(x) = -2 + x,$ then what is $g(x)$ if $f(x) = x^3 - 2x - 2$?

 

We have that

 

f(x)  + g(x)  = x - 2     and      so

 

[ x^3 - 2x - 2 ]  +  g(x)   = x - 2      subtract  x^3 from both sides...add  2x, 2 to both sides

 

g(x)  = -x^3 + 3x 

 

 

cool cool cool

 Aug 1, 2018

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