1. Reverse Distribution and Grouping

2. Factoring out the common term
Factor out the GCF of the polynomial 6𝑥+14
6𝑥+14=6𝑥+14
6𝑥+14=2∙3𝑥+2∙7
6𝑥+14=2(3𝑥+7)

3. You try
Factor out the GCF of the following:
12𝑥−8
8𝑥 2 +12𝑥

4. Factor by grouping
Factor the following polynomial by grouping set of terms: 𝑥 2 𝑦+2𝑥+3𝑥𝑦+6
𝑥 2 𝑦+2𝑥+3𝑥𝑦+6= 𝑥 2 𝑦+2𝑥 + 3𝑥𝑦+6
𝑥 2 𝑦+2𝑥+3𝑥𝑦+6=𝑥 𝑥𝑦+2 +3 𝑥𝑦+2
𝑥 2 𝑦+2𝑥+3𝑥𝑦+6=(𝑥𝑦+2)(𝑥+3)

5. Try this one out Factor the following polynomial by grouping:
𝑥𝑦+3𝑦+4𝑥+12

6. Work for today 3𝑎+6 30𝑥−15 6𝑦 4 + 2𝑦 3 7𝑥+21𝑦−7
#1-5
Factor out the GCF
#6-10
Factor by Grouping
3𝑎+6
30𝑥−15
6𝑦 4 + 2𝑦 3
7𝑥+21𝑦−7
𝑎 7 𝑏 6 − 𝑎 3 𝑏 2 + 𝑎 2 𝑏 5 − 𝑎 2 𝑏 2
𝑥 3 + 2𝑥 2 +5𝑥+10
5𝑥+15+𝑥𝑦+3𝑦
2𝑥 3 − 𝑥 2 +8𝑥−4
3𝑥−3+ 𝑥 3 − 4𝑥 2
4𝑥 2 +8𝑥𝑦+3𝑥+6𝑦