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Factor

Factor. Factoring a Quadratic Trinomial. Factoring quadratics of the form ( when the coefficient of is 1 ). Ex: Step 1 : Set up your binomials. 2 and 5 are the factors of 10 that add up to 7. Step 2 : Insert the two numbers that have a product of c and a sum of b.

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Factor

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  1. Factor

  2. Factoring a Quadratic Trinomial Factoring quadratics of the form (when the coefficient of is 1) Ex: Step 1: Set up your binomials. 2 and 5 are the factors of 10 that add up to 7 Step 2: Insert the two numbers that have a product of c and a sum of b. Step 3: Check your solution by multiplying out the binomials!

  3. Watch Your Signs! The signs of your c and b values are VERY important! Example: Factor Check: 9 6 Will you ever be able to add two positive numbers and get - 6? * When your product (c) is positive and your sum (b) is negative, you will need two negative factors. You Try: Factor

  4. Keep Watching Your Signs! The signs of your c and b values are still VERY important! Example: Factor Check: We want a positive result, so we need to keep the larger factor positive. * When your product (c) is negative and your sum (b) is positive, the smaller factor will be negative and the larger factor will be positive. You Try: Factor

  5. Signs, Signs, Signs…. The signs of your c and b values are still VERY important! Example: Factor Check: We want a negative result, so we need to keep the larger factor negative. * When your product (c) is negative and your sum (b) is negative, the smaller factor will be positive and the larger factor will be negative. You Try: Factor

  6. Practice Factor: 3) 4)

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