Question

What will be the quotient and remainder when px2+qx+r is divided by x3+ax2+bx+1?

Answer 1

px2+qx+r by x3+ax2+bx+1
x(px+q)+r/x(x2+ax+b)+1
We can cut x's from both
px+q+r/x2+ax+b+1

Answer 2

px2+qx+r by x3+ax2+bx+1

x(px+q)+r/x(x2+ax+b)+1

We can cut x's from both  

px+q+r/x2+ax+b+1