Answer:
(2x+3)(x - 1)
Explanation:
Since there is no common number to factor by we must approach this problem differently:
Step 1:
Multiply leading coefficient (2) by the constant term (-3)
2 x -3 = -6
Step two:
Find two numbers that multiply to -6 but add to the middle coefficient (1).
You should find these numbers to be 3 and -2
Step 3:
Replace 1x in the equation with your found numbers
2x^2 - 2x + 3x - 3
Step 4:
Take out the greatest common factor from the first two numbers, and the last two numbers.
For 2x^2 - 2x the greatest common factor would be 2x
For 3x - 3 the greatest common factor would be 3.
Step 5:
Factor out the found common factors
2x(x-1) + 3(x-1)
The values inside the bracket should be the same.
Step 6:
Factor out (x-1)
(x - 1)(2x + 3)
Therefore the factored form is (2x + 3)(x - 1)