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The integers $G$ and $H$ are chosen such that

Gx+5+Hx24x=x22x+10x3+x220x
for all real values of  except $-5$, $0$, and $4$. Find $H/G$.

 Feb 15, 2021
 #1
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cross multiply the left side

 

gx^2 -g 4x + hx + 5 h  =  x^2 -2x+10         so    g = 1   h = 2      take it from here ! cheeky

 Feb 15, 2021

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