Question

Divide quadratics by linear expressions (with remainders)

Answer 1

Answer:

x + 3 + $\frac{13}{x-3}$

Step-by-step explanation:

Divide using Synthetic division

dividing by ( x - 3)

Using 0 to represent the x- term

3 |  1  0   4

     ↓ 3    9

        +     +

   ------------------

     1   3    13 ← remainder

Thus

$\frac{x^2+4}{x-3}$ = x + 3 + $\frac{13}{x-3}$