Reverse Distribution and Grouping

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Presentation transcript:

Reverse Distribution and Grouping

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)

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

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)

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

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