Mathematics, 04.08.2021 19:20, cbrewer37
As above, let $$f(x) = 3\cdot\frac{x^4+x^3+x^2+1}{x^2+x-2} .$$Give a polynomial $g(x)$ so that $f(x) + g(x)$ has a horizontal asymptote of $y=0$ as $x$ approaches positive infinity.
Answers: 3
![\frac{ax^4+(a+b)x^3+(-2a+b+c)x^2+(-2b+c)x-2c}{x^2+x-2}[/texSo this forces [tex]a=-3](/tpl/images/1404/3593/b7535.png)
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. Based on previous statement this forces 
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. With 
, this gives 
.![c=-9[tex].Next we have the x term which we don't care about zeroing out, but we have [tex]-2b+c](/tpl/images/1404/3593/922f1.png)
which equals 
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or simplified 
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As above, let
$$f(x) = 3\cdot\frac{x^4+x^3+x^2+1}{x^2+x-2} .$$Give a polynomial $g(x)$ so that $f(x...
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