Question

What is x3+3x2−16x−48 divided by x−1?

Answer 1

Answer:

x² + 4x - 12, remainder - 60

Step-by-step explanation:

Using synthetic division to divide

Since dividing by x - 1, evaluate for x = 1

1 | 1  3  - 16  - 48

   ↓  1     4   - 12

  ---------------------------

   1   4  - 12  - 60 ← degree 2 polynomial

quotient = x² + 4x - 12, remainder = - 60

Hence

$\frac{x^3+3x^2-16x-48}{x-1}$ = x² + 4x - 12 - $\frac{60}{x-1}$