8-5 Factoring by Grouping

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Presentation transcript:

8-5 Factoring by Grouping Goal: Factor a polynomial by grouping terms. Eligible Content: A1.1.1.5.2

Vocabulary Grouping – this method will work when trying to factor a polynomial with 4 terms. We will put the terms into 2 groups and factor out each GCF.

Factor: x3 + 4x2 + 6x + 24 ( ) ( ) x3 + 4x2 + 6x + 24 x2( ) + 6( ) x2 ( ) ( ) x3 + 4x2 + 6x + 24 x2( ) + 6( ) x2 x2 6 6 GCF: 6 GCF: x2 x + 4 x + 4 GCF: (x + 4) (x + 4) (x + 4) (x + 4) (x2 + 6)

Examples x3 + 2x2 + 3x + 6 x4 + x3 + 2x + 2 2x3 – 4x2 – 9x + 18

Practice Worksheet – “8-5 Factoring by Grouping”

Homework Worksheet – “8-5 Factoring by Grouping Homework”