+0

# Another doubt

-5
73
3
+-37

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.

Aug 4, 2021

#1
0

By long division, 3(x^4 + x^3 + x^2 + 1)/(x^2 + x - 2) = 3x^2 + 12 - 15/(x + 2) + 4/(x - 1), so g(x) = -3x^2 - 12.

Aug 4, 2021
#2
-37
-4

I entered it but unfotuanetly it's incorrect.

Aug 4, 2021
#3
+114511
+4

Good, I hope it is.

Do not dump all your homework here and expect the rest of the world to do it for you.

Melody  Aug 4, 2021