Question

What is `(x^3+ 3x^2+3 x+ 4)-:( x+2)`?

Answer 1

`x^2+x+1+2/(x+2)`

Explanation:

`x^3+3x^2+3x+4=(x+2)(ax^2+bx+c)+ r`

By expanding the brackets and equating coefficients you get:

`a=1, b=1, c=1, r=2`