Answer:
(2x - 3)(x - 2).
Explanation:
Factor: 2x^2 - 7x + 6
Use the ac method to do this:
Multiply the leading coefficient by the last term:
2 * 6 = 12.
Now we want 2 numbers whose product is 12 and whose sum is -7.
That would be -3 and -4 so we write:
2x^2 -4x - 3x + 6
Now factor by grouping:
= 2x(x - 2) - 3(x -2)
(x - 2) is common to the 2 parts so we have:
(2x - 3)(x- 2).