1: \(=\dfrac{x^3+2x^2+3x^2+6x+5x+10}{x+2}=x^2+3x+5\)
2: \(=\dfrac{x^3-3x^2-7x+x^2-3x-7}{x^2-3x-7}=x+1\)
3: \(=\dfrac{x^3+x^2+3x^2+3x+5x+5}{x+1}=x^2+3x+5\)
4: \(=\dfrac{x^3-3x^2-7x+2x^2-6x-14}{x^2-3x-7}=x+2\)
6: \(=\dfrac{x\left(x^2+6x+5\right)}{x+5}=x\left(x+1\right)=x^2+x\)
12: \(=\dfrac{\left(x^2-1\right)\left(x^4+x^2+1\right)}{x-1}=\left(x+1\right)\left(x^4+x^2+1\right)\)