Question

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

Answer 1

x² + x + 5

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)