Factoring Trinomials Part 2

1. FACTORING
Perfect Square
Trinomials

2. FIRST TERM
Perfect Square Trinomial
PERFECT
SQUARE
LAST TERM
PERFECT
SQUARE
MIDDLE TERM
TWICE
THE
PRODUCT
of FIRST and LAST TERM
(positive)
(positive)
PERFECT
SQUARE

3. Perfect Square Trinomials
𝒙𝟐
+ 𝟐𝒙𝒚 + 𝒙𝟐
(𝒙)𝟐
+𝟐(𝒙)(𝒚) + (𝒚)𝟐

4. 𝟏. 𝒂𝟐
− 𝟐𝟐𝒂 + 𝟏𝟐𝟏
𝟐. 𝒃𝟐
− 𝟖𝒃 + 𝟏𝟔
𝟑. 𝟒𝒅𝟐
+ 𝟐𝟎𝒅 − 𝟐𝟓

5. 𝟒. 𝟏𝟎𝟎 + 𝟓𝟎𝒆 + 𝒆𝟐
𝟓. 𝟑𝟔𝒓𝟐
− 𝟔𝟎𝒓𝒕 + 𝟐𝟓𝒕𝟐

6. Factoring Perfect Square Trinomials
𝒙𝟐
+ 𝟐𝒙𝒚 + 𝒚𝟐
𝒙𝟐
− 𝟐𝒙𝒚 + 𝒚𝟐
= (𝒙 + 𝒚)𝟐
FIRST FIRST
LAST LAST
= (𝒙 − 𝒚)𝟐
FACTORED FORM

7. Factoring Perfect Square Trinomials
𝒙𝟐
+ 𝟏𝟎𝒙 + 𝟐𝟓= (𝒙 + 𝒚)𝟐
Factor.
(𝒙)𝟐
+𝟐(𝒙)(𝟓) + (𝟓)𝟐
= (𝒙 + 𝟓)𝟐
Factored Form:
Check:

8. FACTORING
General
Trinomials

9. MODULE 1B
Lesson 2 – What’s In
Activity: The Two of Us

10. Factoring General Trinomials
𝒙𝟐
+ 𝒃𝒙 + 𝒄
= (𝒙 + 𝒎)(𝒙 + 𝒏)
1. List all pairs of integers (m∙n)
whose product is 𝒄.
2. Choose a pair whose sum (m+n)
is 𝒃.
𝒙𝟐
+ 𝒃𝒙 + 𝒄

11. Factoring General Trinomials
𝒙𝟐
+ 𝒃𝒙 + 𝒄
= (𝒙 + 𝒎)(𝒙 + 𝒏)
𝒙𝟐
+ 𝒃𝒙 + 𝒄
(m+n) (m∙n) FACTORED
FORM

12. Factoring General Trinomials
𝒙𝟐
+ 𝟏𝟎𝒙 + 𝟏𝟔
= (𝒙 + 𝒎)(𝒙 + 𝒏)
𝒙𝟐
+ 𝒃𝒙 + 𝒄
Factor.
(+)(+)
(-)(-)
𝒙𝟐
+ 𝟏𝟎𝒙 + 𝟏𝟔
2 + 8 = 10
= (𝒙 + 𝟐)(𝒙 + 𝟖)
m n

13. Assessment:
MODULE 1B
Lesson 1 – What’s More
Activity 1: You’re the One
Lesson 2 – What’s More
Activity 1: Missing You!

14. Study Math
for a
Better Path