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When factoring an easy trinomial easy trinomial When factoring an easy trinomial x2 +4x - 12 the most important sign is the last sign When factoring an easy trinomial x2 +4x - 12 the most important sign is the last sign When factoring an easy trinomial x2 +4x - 12 last sign the most important sign is the last sign which tells you two things... When factoring an easy trinomial x2 +4x - 12 the most important sign is the last sign which tells you two things... whether the signs are the same or different When factoring an easy trinomial x2 +4x - 12 the most important sign is the last sign which tells you two things... whether the signs are the same or different and whether to add of subtract factors When factoring an easy trinomial x2 +4x - 12 x2 - 4x + 7 Which sign is the most important sign? + ? x2 + 4x - 7 - ? When the last sign is a negative... x2 +4x - 12 When the last sign is a negative When the last sign is a negative... x2 +4x - 12 negative then we know that our factor signs will be different When the last sign is a negative When the last sign is a negative... x2 +4x - 12 negative then we know that our factor signs will be different When the last sign is a negative When the last sign is a negative... ( x - ) ( x + ) x2 +4x - 12 negative then we know that our factor signs will be different When the last sign is a negative When the last sign is a negative... ( x - ) ( x + ) x2 +4x - 12 negative different signs ( x - ) ( x - ) ? x2 - 3x + 4 Match the factor signs with the correct trinomial. ( x - ) ( x + ) ? x2 + 3x - 4 ( x + ) ( x + ) ? x2 + 3x + 4 We also know that the factors of 12 will have to be ( x - ) ( x + ) x2 +4x - 12 negative We also know that the factors of 12 will have to be subtracted to get 4. ( x - ) ( x + ) x2 +4x - 12 negative We also know that the factors of 12 will have to be subtracted to get 4. ( x - ) ( x + ) x2 +4x - 12 1 and 12 negative We also know that the factors of 12 will have to be subtracted to get 4. ( x - ) ( x + ) x2 +4x - 12 1 and 12 negative 12 - 1 ≠ 4 We also know that the factors of 12 will have to be subtracted to get 4. ( x - ) ( x + ) x2 +4x - 12 1 and 12 negative 12 - 1 ≠ 4 What do you multiply 6 by to get 12? We also know that the factors of 12 will have to be subtracted to get 4. ( x - ) ( x + ) x2 +4x - 12 1 and 12 2 and 6 negative 12 - 1 ≠ 4 We also know that the factors of 12 will have to be subtracted to get 4. ( x - ) ( x + ) x2 +4x - 12 1 and 12 2 and 6 negative 12 - 1 ≠ 4 6 - 2 = 4 Solve We also know that the factors of 12 will have to be subtracted to get 4. ( x - ) ( x + ) So my factors are 2 and 6 x2 +4x - 12 1 and 12 2 and 6 negative 12 - 1 ≠ 4 6 - 2 = 4 Which factors are the correct ones for this problem? 1 and 30 2 and 15 3 and 10 4 and 6 x2 - 7x - 30 What are the correct factors? ( x - ) ( x + ) x2 +4x - 12 1 and 12 2 and 6 3 and 3 But where do I put the factors? ( x - ) ( x + ) x2 +4x - 12 2 and 6 Should the 2 be negative and the 6 be positive? But where do I put the factors? ( x - ) ( x + ) x2 +4x - 12 2 and 6 Or should the 6 be negative and the 2 be positive? Should the 2 be negative and the 6 be positive? But where do I put the factors? ( x - ) ( x + ) x2 +4x - 12 2 and 6 previous sign The way to tell is to look at the previous sign ( x - ) ( x + ) x2 +4x - 12 2 and 6 The way to tell is to look at the previous sign the bigger factor ( x - ) ( x + ) x2 +4x - 12 2 and 6 6 is bigger than 2 The way to tell is to look at the previous sign the bigger factor has the same sign as the previous sign ( x - ) ( x + ) x2 +4x - 12 2 and 6 6 is bigger than 2 previous sign Since the previous sign is positive ( x - ) ( x + ) x2 +4x - 12 2 and 6 previous sign Since the previous sign is positive the 6 gets the plus sign ( x - ) ( x + ) x2 +4x - 12 2 and 6 previous sign Since the previous sign is positive the 6 gets the plus sign ( x - 2 ) ( x + 6 ) x2 +4x - 12 2 and 6 Fill in the blank and that's our answer! ( x - 2 ) ( x + 6 ) x2 +4x - 12 |