If a trinomial ax 1. Set up empty parentheses: If a,b,c are positive, then both signs are positive If b is negative but c is positive, then both signs arenegative . If c is negative, then one sign is positive and the other isnegative . 2. Try the factors of a in front positions Example: factor 2x step 1: step 2: step 3: The factors of 2 are 2 and 1; the factors of 10 are 10and 1 or 5 and 2: (2x + 10)(x - 1) = 2x (2x + 5)(x - 2) = 2x The second trial is almost correct; only the sign of themiddle term is wrong. So we change signs: (2x - 5)(x + 2) = 2x The answer is (2x - 5)(x + 2) . |