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Classroom Procedures

Classroom Procedures. Enter in Quietly & Be in your seat Have your Homework Out Work on Warm-up Raise hands if you have questions. Factor. 1). 2). 3). 4). 5). Warm Up. Sec. 10.8 Factoring by Grouping. Factoring Polynomials. #8 Lecture 10.8 Factor by Grouping.

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Classroom Procedures

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  1. Classroom Procedures Enter in Quietly & Be in your seat Have your Homework Out Work on Warm-up Raise hands if you have questions

  2. Factor 1) 2) 3) 4) 5) Warm Up

  3. Sec. 10.8 Factoring by Grouping Factoring Polynomials

  4. #8 Lecture 10.8 Factor by Grouping • Today students will learn how to factor polynomials by grouping

  5. Factoring by Grouping Many “higher degree” polynomials can be factored by grouping. We’ll work with some 3rd degree polynomials. Factor: 3x3 + 6x2 + 2x + 4 Group into binomials (3x3 + 6x2) + (2x + 4) Now factor out GCF … 3x2(x + 2) + 2(x + 2) Reverse the distributive property = (3x2 + 2)(x + 2)

  6. Factoring by Grouping Factor: 2x - 2y + ax - ay Group into binomials (2x - 2y) + (ax - ay) Now factor out GCF … 2(x - y) + a(x - y) Reverse the distributive property = (2+a)(x - y)

  7. Factoring by Grouping Factor: xy - 4x + 3y - 12 Group into binomials (xy - 4x) + (3y - 12) Now factor out GCF … x(y - 4) + 3(y - 4) Reverse the distributive property = (x + 3)(y - 4)

  8. Factoring by Grouping Practice: 4x3 + 3x2 + 8x + 6 x3 - 3x2 + 5x - 15 2x4 - x3 + 4x - 2 xy + x + 3y + 3 (x2 + 2)(4x + 3) (x2 + 5)(x - 3) (x3 + 2)(2x - 1) (y + 1)(x + 3)

  9. Homework Sec. 10.8 • Textbook P. 629 (22-34 all) Upcoming Date • Ch. 10 Test on Friday • Notebook Check Friday

  10. Upcoming Date • Ch. 6 Test on Friday • Notebook Check Friday

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