Explanation What are possible factors of 2x²?  Answer 2x and x. What are possible factors of -1?  Answer -1 and 1. Possible answers are: (2x-1)(x+1)   gives a middle term of +x. (2x+1)(x-1)  gives a middle term of -x.  YEA!

Explanation What are possible factors of 3x²?  Answer 3x and x. What are possible factors of -2?  Answer -2 and 1 OR 2 and -1. Possible answers: (3x+2)(x-1)  gives a middle term of -x. (3x-1)(x+2)  gives a middle term of +5x. (3x-2)(x+1)  gives a middle term of +x. (3x+1)(x-2)  gives a middle term of -5x.  YEA!

Explanation What are possible factors of 5m²?  Answer 5m and m. What are possible factors of -6?  Answer is -6 and 1, OR 6 and -1, OR 3 and -2, OR -3 and 2. Possible answers: (5m-6)(m+1)  gives a middle term of -m. (5m+1)(m-6) gives a middle term of -29m. (5m+6)(m-1) gives a middle term of +m. (5m-1)(m+6)  gives a middle term of 29m. (5m-3)(m+2) gives a middle term of 7m. (5m+2)(m-3) gives a middle term of -13m. (5m-2)(m+3) gives a middle term of 13m. YEA!! (5m+3)(m-2) gives a middle term of -7m.