One of the factors of the polynomial x3 + 5x2 + 6x is (x2 + 3x). What is the other factor?

x+2

Step-by-step explanation:

Dividing the poly by the known factor:

x3+5x2+6x | x2+3x

-x3-3x2 x + 2 < - the answer is here

2x2+6x

-2x2-6x

To prove that, let's multiply the two factors and find the pylonomial back on:

(x2+3x). (x+2) = x3 + 2x2 + 3x2 + 6x = x3 + 5x2 + 6x

Tks your attention!