This is a trinomial, and anytime the instructions call for factoring, first look for a GCF, but there is none in this problem. To factor a trinomial, use the AC method. AC means A*C, which is 35x^{2}. You need to find two terms that multiply to get 35x^{2}, but at the same time they need to add or subtract to get B, which is 2x. Make a T chart, and start listing the factors of 35, that add or subtract to get 2.
Because they have to mulitply to get a negative, and add or subtract to get a negative, then they must be different signs with the negative being larger. 5 and 7 will be the two factors to use. Now you can rewrite the problem as (x+5) (x7) =0
To find out what x is, set each of the factors equal to 0, x+5=0 and x7=0
On the first one, subtract 5 from both sides, and you get.....
On the second one, add 7 to both sides, and you get........
4/28/2014

Jared M.