Plz help me out! What is the result when x^3 + 6x^2 + 10x + 25 is divided by x+ 5?

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)

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225