Answer:
x² + x + 5
Step-by-step explanation:
Using Synthetic division
- 5 | 1 6 10 25
↓ - 5 - 5 - 25
-----------------------
1 1 5 0 ← remainder
Since the remainder is zero then (x + 5) is a factor of the polynomial
The Quotient = x² + x + 5
Thus
x³ + 6x² + 10x + 25 = (x + 5)(x² + x + 5)
