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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