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Mathematics, 21.03.2020 05:32 babyduckies37

Using long division, you can calculate that f(x)=( 2x^3 + 14x^2 + 7x - 29 ) / (2x^2 + 5 ) = Q(x) + ( R(x) / (2x^2 +5) )

The quotient Q(x) is

The remainder R(x) is

From this you can conclude that y=f(x) has an oblique (or slant) asymptote given by the line with equation y = R(x) or Q(x)

because lim as x approaches positive or negative infinity (R(x)) / (2x^2+5) = .

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Using long division, you can calculate that f(x)=( 2x^3 + 14x^2 + 7x - 29 ) / (2x^2 + 5 ) = Q(x) + (...

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