Question

The trinomial 2x^2 + 13x + 6 has a linear factor of x + 6.

2x^2 + 13x + 6 = (x + 6)(?)

What is the other linear factor?

Answer 1

`2 {x}^(2) + 13x + 6 \\ 2 {x}^(2) + 12x + 1x + 6 \\ 2x(x + 6) + 1(x + 6) \\ (2x + 1)(x + 6)`

so the other linear factor is,

`(2x + 1)`