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If f(x)=2x^2-x-6 and g(x)=x^2-4 find f(x)/g(x)

If f(x)=2x^2-x-6 and g(x)=x^2-4 find f(x)/g(x)
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If f(x)=2x^2-x-6 and g(x)=x^2-4 find f(x)/g(x)

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User Khurrum Qureshi
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8.5k points

1 Answer

3 votes

(f(x))/(g(x))=(2x^2-x-6)/(x^2-4)\\ (f(x))/(g(x))=(2x^2-4x+3x-6)/((x-2)(x+2))\\ (f(x))/(g(x))=(2x(x-2)+3(x-2))/((x-2)(x+2))\\ (f(x))/(g(x))=((2x+3)(x-2))/((x-2)(x+2))\\ (f(x))/(g(x))=(2x+3)/(x+2)
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User Vascowhite
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