Question

(x⁴+9x³-2x²+4x+8) :(x-1)

Answer 1

\(=\left(x^4-x^3+10x^3-10x^2+8x^2-8x+12x-12+20\right):\left(x-1\right)\\ =\left[\left(x-1\right)\left(x^3+10x^2+8x-12\right)+20\right]:\left(x-1\right)\\ =x^3+10x^2+8x-12\left(dư.20\right)\)

Answer 2

\(\dfrac{x^4-x^3+10x^3-10x^2+8x^2-8x+12x-12+16}{x-1}\)

\(=x^3+10x^2+8x+12+\dfrac{16}{x-1}\)