Answer:
In order to factor you have to use the distributive property, for the first example you would distribute the 3 to 2x and 1 meaning that you would multiply both 2x and 1 by 3. To distribute negatives you would just pretend that the negative is negative 1 and do the distributive property, for the problems like 4x+2, you would find the gcf or what the two have in common while multiplying and make that the distributor and put what times that equals what the problem is. 4 and 2 have 2 in common because 2x2 is 4 and 2 x 1 is 2. 2 would be outside of the () and then you would put the what times 2 is equal to your original problem so, 2(2+1) to check use the distributive property and you should get your original problem.
Explanation: