Question

Thực hiện phép chia: (x^3-2x^2+x+4):(x+1)

Answer 1

\(\left(x^3-2x^2+x+4\right):\left(x+1\right)\)

\(=\left(x^3-3x^2+4x+x^2-3x+4\right):\left(x+1\right)\)

\(=\left[x\left(x^2-3x+4\right)+\left(x^2-3x+4\right)\right]:\left(x+1\right)\)

\(=\left(x+1\right)\left(x^2-3x+4\right):\left(x+1\right)\)

\(=x^2-3x+4\)