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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 0 as x approaches positive infinity.

 Mar 7, 2020
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g(x) = -3x^2 + 4x + 6.

 Mar 8, 2020

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