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lets look at the sign rules for factoring trinomials first you should always look at the last sign if the last sign is positive what kind of numbers could have multiplied to give you a positive they could both be positive or they could both be negative so to multiply to get a positive we have to have like signs now we dont know which they are so we have to look back then and take the sign of the middle term so for this problem we look at the last sign its a positive so it says our signs are going to be alike either plus plus or minus - we have to look back to the sign of the middle term to decide for this situation were going to have both positive signs lets look at this trinomial we would first go to the last sign and it is positive so it says our signs are going to be alike either two positives or two negatives we dont know which so we have to go back and we will take the sign of the middle term so were going to have two negative signs in this set up lets look at this trinom