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f-g-f-g-x-f-x-g-x-3x-2-4x-1-3x-2-4x-1-6x-3-9x-2-8x-2-12x-2x-3-6x-3-x-2-10x-3-




Question Number 121471 by Myrnalyn last updated on 08/Nov/20
f/g  (f / g)(x)= f(x) / g(x)              =(3x^2  + 4x + 1)((3x^2  + 4x + 1)/)              = 6x^3  − 9x^2  + 8x^2  −12x + 2x − 3              = 6x^3  − x^2  − 10x − 3
$${f}/{g} \\ $$$$\left({f}\:/\:{g}\right)\left({x}\right)=\:{f}\left({x}\right)\:/\:{g}\left({x}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:=\left(\mathrm{3}{x}^{\mathrm{2}} \:+\:\mathrm{4}{x}\:+\:\mathrm{1}\right)\frac{\mathrm{3}{x}^{\mathrm{2}} \:+\:\mathrm{4}{x}\:+\:\mathrm{1}}{} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:=\:\mathrm{6}{x}^{\mathrm{3}} \:−\:\mathrm{9}{x}^{\mathrm{2}} \:+\:\mathrm{8}{x}^{\mathrm{2}} \:−\mathrm{12}{x}\:+\:\mathrm{2}{x}\:−\:\mathrm{3} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:=\:\mathrm{6}{x}^{\mathrm{3}} \:−\:{x}^{\mathrm{2}} \:−\:\mathrm{10}{x}\:−\:\mathrm{3} \\ $$

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