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Question Number 75218 by 21042004 last updated on 08/Dec/19

Simplify: (x^4 −3x^3 +4x^2 −12x) : (x^2 +4)

$$\mathrm{Simplify}:\:\left({x}^{\mathrm{4}} −\mathrm{3}{x}^{\mathrm{3}} +\mathrm{4}{x}^{\mathrm{2}} −\mathrm{12}{x}\right)\::\:\left({x}^{\mathrm{2}} +\mathrm{4}\right) \\ $$

Commented by JDamian last updated on 08/Dec/19

That is not a equation

$${That}\:{is}\:{not}\:{a}\:{equation} \\ $$

Answered by mind is power last updated on 08/Dec/19

x^4 −3x^3 +4x^2 −12x=x(x^3 −3x^2 +4x−12)  (x−3)(x^2 +4)=x^3 −3x^2 +4x−12 deduce

$$\mathrm{x}^{\mathrm{4}} −\mathrm{3x}^{\mathrm{3}} +\mathrm{4x}^{\mathrm{2}} −\mathrm{12x}=\mathrm{x}\left(\mathrm{x}^{\mathrm{3}} −\mathrm{3x}^{\mathrm{2}} +\mathrm{4x}−\mathrm{12}\right) \\ $$$$\left(\mathrm{x}−\mathrm{3}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{4}\right)=\mathrm{x}^{\mathrm{3}} −\mathrm{3x}^{\mathrm{2}} +\mathrm{4x}−\mathrm{12}\:\mathrm{deduce} \\ $$

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