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Given f(x)=4x^2+6x and g(x)=2x^2+13x+15 find (f/g)(x)

Given f(x)=4x^2+6x and g(x)=2x^2+13x+15 find (f/g)(x)
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Given f(x)=4x^2+6x and g(x)=2x^2+13x+15 find (f/g)(x)

User D T
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f(x)=4x^2+6x=2x(2x+3)\\\\g(x)=2x^2+13x+15=2x^2+10x+3x+15=2x(x+5)+3(x+5)=(x+5)(2x+3)


\left((f)/(g)\right)(x)=(4x^2+6x)/(2x^2+13x+15)=(2x(2x+3))/((x+5)(2x+3))=(2x)/(x+5)
User DeFeNdog
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