Question

Factor the trinomial: 5x+7x-6

Answer 1

You know it will have to have factors of the form

(5x + ?)(x + ?)
where the question marks multiply to 6, and one is plus, the other minus. Since you have +7x, it would seem that it will be

(5x-?)(x+?) so the 5 multiplies the "+" factor

(5x-3)(x+2) fits the bill, since 5*2 - 1*3 = +7