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
[tex]\frac{x^3+3x^2-16x-48}{x-1}[/tex] = x² + 4x - 12 - [tex]\frac{60}{x-1}[/tex]
