Question

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

Answer 1

Answer:

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!