Factor each expression, if it cant be factored write cannot be factored. 1. 4x+12
2. 8r-14
3. 5x+35
4. 7+14x
5. 32x-15
6. 24+32x
7. 6x-9
8. 48+24x
9. 72-18x
10. 25+14
11. 8x+24
12. 50x+250

1.) 4(x+3)
Find the GCF, Greatest Common Factor, of 4x and 12. 
4x=2*2*x
12=3*2*2
The greatest common factor is 4. Put this outside of the parentheses.             (You would multiply the 2*2)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Solution: 4(x+3)

To check, distribute to see if it works.

4x+12

2.) 2(4r+7)
Find the GCF of 8r and 14
8r=2*2*2*r
14= -1*7*2
The greatest common factor is 2.                                                                 (There is only 1 two, so you would not multiply them.)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Multiply the 2*2*r as one addend and the -1*7 as the other.
Solution: 2(4r-7)

To check, distribute to see if it works.

8r-14

Do you get it now?

3.) 5(x+7)
4.) 7(2x+1)
5.) Cannot be factored.

32x-15
Find the GCF of 32x and -15

32x: 2*2*2*2*2*x
-15: -1*5*3

Because there are no similar factors other than 1, it cannot be factored.

6.)  8(4x+3)
7.) 3(2x-3)
8.) 24(1x+2)
9.) 9(-2x+8)
10.) Cannot be factored
11.) 8(1x+3)
12.) 50(1x+5)