Question

Answer 1

a: \(\dfrac{A}{B}=\dfrac{x^3+2x^2-6x^2-12x}{x+2}=x^2-6x\)

=>Q=x^2-6x; R=0

b: \(\dfrac{A}{B}=\dfrac{-x^3+5x^2-x-8x^2+40x-8+2}{x^2-5x+1}=-x-8+\dfrac{2}{x^2-5x+1}\)

=>Q=-x-8; R=2

c: \(\dfrac{A}{B}=\dfrac{3x^3+7x^2-7x+3}{3x^2-2x-1}\)

\(=\dfrac{3x^3-2x^2-x+9x^2-6x-3+6}{3x^2-2x-1}\)

\(=x+3+\dfrac{6}{3x^2-2x-1}\)

=>Q=x+3;R=6