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Unit 1 Lesson 4 Notes 3 Name_____________________ Date_______________________ Directions: As you watch Unit 1 Lesson 4 Notes 3 on factoring trinomials, follow along and complete these guided notes. Review Definition Trinomials have _______________ terms. Identify the trinomial: m2n x+7 y2 + 3y + 4 Review GCF GCF stands for Greatest Common Factor and is the largest number the terms have in common. Steps to find the GCF 1. Find the largest number that the terms have in common 2. Find the largest exponent that the terms have in common 3. Divide both terms by the GCF 1 Unit 1 Lesson 4 Notes 3 Name_____________________ Date_______________________ Example 1. Factor x2 + 6x + 8 Step 1. Multiply the numbers on the ends of the trinomial to get our “rainbow”. Step 2. Split the middle term using the “MA” box. Step 3. Group the remaining terms and factor each using GCF. Step 4. Write final factors. Example 2. Factor x2 + 8x + 7 Step 1. Multiply the numbers on the ends of the trinomial to get our “rainbow”. Step 2. Split the middle term using the “MA” box. Step 3. Group the remaining terms and factor each using GCF. Step 4. Write final factors. 2 Unit 1 Lesson 4 Notes 3 Name_____________________ Example 3. Factor 2x2 + 3x – 9 Date_______________________ Step 1. Multiply the numbers on the ends of the trinomial to get our “rainbow”. Step 2. Split the middle term using the “MA” box. Step 3. Group the remaining terms and factor each using GCF. Step 4. Write final factors. You try!-Example 4. Factor x2 - 7x + 10 Step 1. Multiply the numbers on the ends of the trinomial to get our “rainbow”. Step 2. Split the middle term using the “MA” box. Step 3. Group the remaining terms and factor each using GCF. Step 4. Write final factors. 3 Unit 1 Lesson 4 Notes 3 Name_____________________ Date_______________________ You try!-Example 5. Factor 3x2 - 2x - 5 Step 1. Multiply the numbers on the ends of the trinomial to get our “rainbow”. Step 2. Split the middle term using the “MA” box. Step 3. Group the remaining terms and factor each using GCF. Step 4. Write final factors. Let’s Review! A trinomial has _________ terms. Steps for factoring trinomials Step 1. Multiply the numbers on the______ of the trinomial. We will call this our “________________” and then we will make a “________” box. Step 2. Split the ___________ term using the “MA” box. Step 3. Group the remaining terms and factor each using ____________. Step 4. Write final ______________. 4