Write \(\dfrac{x^3 + 10x^2 + 13x + 39}{x^2 + 2x + 1}\) in the form \(q(x) + \frac{r(x)}{b(x)}\)
x + 8 r -4x + 31
x^2 + 2x + 1 | x^3 + 10x^2 + 13x + 39 x^2+2x+1
x^3 + 2x^2 + x
8x^2 + 12x
8x^2 +16x +8
- 4 x + 31
+36916 
