1. Factoring trinomials

2. Factoring a trinomial 𝐴𝑥 2 +𝐵𝑥+𝐶
Is there a GCF?
Multiply A and C
List Factors of 𝐴∙𝐶 and use chart to Select Factor Pair
Replace B with Factor Pair
Factor by Grouping

3. SIGN CHART + B C − Both Factors are + Both Factors are −
Bigger Factor is +
Bigger Factor is −

4. Factoring Trinomials of the Form 𝐴𝑥 2 +𝐵𝑥+𝐶
Trinomial to Factor
A VALUE
B VALUE
C VALUE
Is there a GCF?
Trinomial with GCF Factored Out
MULTIPLY A & C
Use the Chart to Find the Factor Pair that Combines to B.
List Factors of 𝐴∙𝐶 C + − B
Both Factors are +
Both Factors are −
Bigger Factor is +
Bigger Factor is −
Replace B with Factor Pair
Factor By Grouping
Factored Polynomial

5. Example 1

6. Example 2

7. Write two sets of parenthesis,
SHORT CUT 𝐴𝑥 2 +𝐵𝑥+𝐶
Write two sets of parenthesis,
( )( ). These will be the factors of the trinomial.
2. Think of factors of c that add up to b. (Use Chart for Signs)

8. Example 3

9. Example 4

10. Example 5

11. Example 6

12. Try These
𝟏) 𝒙 𝟐 +𝟖𝒙+𝟏𝟐
𝟐) 𝒙 𝟐 −𝟓𝒙+𝟔
𝟑) 𝒛 𝟐 +𝟏𝟐𝒛−𝟐𝟖
𝟒) 𝒙 𝟐 −𝟗𝒙−𝟐𝟐
𝟓) 𝒂 𝟐 +𝟐𝒂+𝟏