Can’t find missing term

Question

2x^2- 11x +12 =(2x-3)(x+___) the following trinomial is factorable find the missing term

Answer 1

2x² - 11x + 12

(2x - 3)(x - 4)

Answer 2

2x^2- 11x +12 = (2x-3)(x+___)

Use F-O-I-L to expand the expression: (2x-3)(x+b):

2x² + 2bx -3x -3b

2x² + (2b-3)x -3b

This must be the same as:

2x² -11x + 12

So, (-3b) = 12

b = (-4)

Also,

(2b-3) = -11

2b = -8

b = (-4)

Well, that means:

2x^2- 11x +12 = (2x-3)(x+___) = 2x^2- 11x +12 = (2x-3)(x - 4)