Download Simple Trinomial

LESSON 6 – FACTORING SIMPLE TRINOMIALS
THE TWO NUMBER GAME
I’m thinking of two numbers whose....
1. Product is 12 and whose sum is 8
2. Product is -24 and whose sum is -5
3. Product is 18 and whose sum is -11
4. Product is -32 and whose sum is 14
EXPANDING BINOMIALS - FOIL
(𝑥 + 3)(𝑥 + 2)
Expand and simplify:
RECALL
_________________IS THE OPPOSITE OF EXPANDING
x2 + 5x + 6
(x + 3)(x + 2)
THE SIMPLE TRINOMIAL
𝒙𝟐 + 𝒃𝒙 + 𝒄
Example ① Factor (COMMON FACTOR FIRST WHERE NECESSARY)
a) 𝑥 2 − 8𝑥 + 12
b) 𝑥 2 + 11𝑥 + 18
c) 𝑥 2 − 8𝑥 − 20
d) 3𝑥 2 + 3𝑥 − 18
Example ②
Expand (𝑥 – 4𝑦)(𝑥 + 2𝑦)
Example ③
Factor each of the following:
a) 𝑥 2 + 6𝑥𝑦 + 5𝑦 2
b) (𝑥 + 𝑘)2 – 5(𝑥 + 𝑘) + 6