\(c,\left(x^3+x^2+x+6\right):\left(x+2\right)\\ =\left[\left(x^3+2x^2\right)-\left(x^2+2x\right)+\left(3x+6\right)\right]:\left(x+2\right)\\ =\left[x^2\left(x+2\right)-x\left(x+2\right)+3\left(x+2\right)\right]:\left(x+2\right)\\ =\left[\left(x^2-x+3\right)\left(x+2\right)\right]:\left(x+2\right)\\ =x^2-x+3\)

