The trinomial 2x2 + 13x + 6 has a linear factor of x + 6. 2x2 + 13x + 6 = (x + 6) (?) What is the other linear factor?

To determine the other linear factor, we just have to divide the given polynomial with the factor. We use the synthetic division, for example.

(2x² + 13x + 6) : (x + 6)

2 13 6 / - 6

0 - 12 - 6

2 1 0

Therefore, the other factor is 2x + 1.