Question

What is the factored form of 2x^2-7x+6

Answer 1

Answer:

(2x - 3)(x - 2).

Step-by-step 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).