2x^2 - 7x + 3
Multiply the 2 in 2x^2 by the 3
Now we need to workout two numbers that
Multiply to get 2 * 3
Multiply to get 6
And add me to get -7
-6 * -1 = 6 and
-6 + -1 = -7
So
-6 and -1
Now we replace that with the -7x
2x^2 - 1x - 6x + 3
Now we factorise the 2x^2 - 1x
x(2x - 1)
And factorise - 6x + 3
-3(2x - 1)
Put it back together
x(2x - 1) -3(2x - 1)
The inside brackets are the same so we can eliminate
(x - 3) (2x - 1)
And that is the answer