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Factor by Grouping

Factor by Grouping. Algebra I B. MacDonald. Index. Factoring using grouping Practice Problems. Factoring using Grouping (Click screen to proceed through the lesson.). To factor using grouping you’ll have four terms GOAL is to get (binomial)(binomial)

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Factor by Grouping

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  1. Factor by Grouping Algebra I B. MacDonald

  2. Index • Factoring using grouping • Practice Problems

  3. Factoring using Grouping(Click screen to proceed through the lesson.) • To factor using grouping you’ll have four terms • GOAL is to get (binomial)(binomial) • Is there a GCF you can factor out first? • Group first two terms together & last two terms together NO • 4ab + 8b + 3a + 6 • Factor out GCF of each set • 4b(a + 2) • +3(a + 2) Index Continue Example

  4. Factoring using Grouping(Click screen to proceed through the lesson.) • Now factor out GCF of each set. • Notice they both have (a + 2) • Group leftovers together • (a + 2)(4b+3) • 4b(a + 2) • +3(a + 2) Index Let’s check our answer 

  5. How can we check our answer? (Click screen to proceed through the lesson.) FOIL (Hand shakes & high fives) • (a + 2)(4b+3) • 4ab + 3a + 8b + 6 • Original Problem: • 4ab + 8b + 3a + 6 • Does it check? • Yes  Index Practice 

  6. Practice: Factor by grouping • 2xy + 7x – 2y – 7 • 35x – 5xy + 3y – 21 • x2 + 2x + 4x + 8 • x2 + 6x – 3x - 18 ANSWER - A (2y + 7)(x – 1) ANSWER - B (5x – 3)(7 – y) ANSWER - C (x + 4)(x + 2) (x – 3)(x + 6) ANSWER - D Index

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