Day 5: Factoring Complex
Trinomials
Unit 4: Algebra of Quadratics
Learning Goals

To be able to factor complex trinomials
Expand.
(2𝑥 + 1)(𝑥 + 4)
Complex Trinomials
Complex Trinomials
2
𝑎𝑥 + 𝑏𝑥 + 𝑐
where 𝑎 ≠ 1
Factor 2𝑥 2 + 9𝑥 + 4
1) Find two numbers that multiply to 𝑎 × 𝑐 AND add to 𝑏
8
1
_______
× _______
= 8  (2 × 4)
8
1
_______
+ _______
=9
Factor 2𝑥 2 + 9𝑥 + 4
2) Break down the quadratic with your two numbers in the
middle. (Decomposition!)
2𝑥 2 + 1𝑥 + 8𝑥 + 4
Factor 2𝑥 2 + 9𝑥 + 4
3) Factor by grouping.
2𝑥 2 + 1𝑥 + 8𝑥 + 4
𝑥 2𝑥 + 1 + 4(2𝑥 + 1)
(2𝑥 + 1)(𝑥 + 4)
Factor, if possible.
a) 5𝑥 2 + 4𝑥 − 12
Factor, if possible.
b) 4𝑥 2 − 15𝑥 − 25
Factor, if possible.
c) −𝑢2 − 5𝑢 − 4
Success Criteria

I CAN factor complex trinomials
To Do…
 pg.
223 # 6, 6def, 7 – 10
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