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

1 Answer
Aug 3, 2018

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

Explanation:

(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 !