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Factor by Grouping

Learn to factor using grouping method with practice problems and examples. Understand the goal of getting binomial expressions and checking your answers using FOIL method. Improve your algebra skills!

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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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