How do you long divide #(12x³-11x²-27x-9) / (4x+3)#?

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Answer 1 · 2018-08-03T18:35:33

#(12x^3-11x^2-27x-9)/(4x+3)=3x^2-5x-3#

#(12x^3-11x^2-27x-9)/(4x+3)#

#=1/4*(12x^3-11x^2-27x-9)/(x+3/4)#

#=1/4*(12x^2(x+3/4)-20x^2-27x-9)/(x+3/4)#

#=1/4*(12x^2(x+3/4)-20x(x+3/4)-12x-9)/(x+3/4)#

#=1/4*(12x^2(x+3/4)-20x(x+3/4)-12(x+3/4))/(x+3/4)#

#=1/4(12x^2-20x-12)#

#=3x^2-5x-3#

\0/ Here's our answer !