Question

Thực hiện phép chia

a) (x² + x³ - 1 + 5x) : (x - 1)

b) (2x⁴ + 2x³ + 3x² - 5x - 2x) : (x² + x + 4)

Answer 1

a: \(=\dfrac{x^3-x^2+2x^2-2x+7x-7+6}{x-1}=x^2+2x+7+\dfrac{6}{x-1}\)

b: \(=\dfrac{2x^4+2x^3+8x^2-5x^2-5x-20-2x+20}{x^2+x+4}\)

\(=2x^2-5+\dfrac{-2x+20}{x^2+x+4}\)