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Comprehensive Guide to Factoring Polynomials: GCF, Binomials, and Trinomials

This resource provides a detailed overview of factoring polynomials, focusing on finding the greatest common factor (GCF) and factoring various types of expressions. Through a series of example problems, it addresses how to factor binomials and trinomials, illustrating techniques such as factoring by grouping. Each section includes questions with answers, enhancing understanding of the concepts involved in factoring. Ideal for students and educators looking to master polynomial factoring skills and improve algebra proficiency.

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Comprehensive Guide to Factoring Polynomials: GCF, Binomials, and Trinomials

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  1. JEOPARDY Unit 5 Factoring Polynomials

  2. Factoring GCF 100 • What is the GFC of these 2 numbers • 12 ,24 • Answer:12

  3. Factoring GCF 200 • What is the GFC of these 3 numbers • 30, 90 ,240 • Answer: 30

  4. Factoring GCF 300 • What is the GFC of these 3 numbers • 27, 36, 81 • Answer: 9

  5. Factoring GCF 400 • What is the GFC.

  6. Factoring Binomials 100 • Factor this binomial • 6a-3b • 3(2a-b)

  7. Factoring binomials 200 • Factor this binomial

  8. Factoring binomials 300 • Factor this binomial

  9. Factoring binomials 400 • Factor this binomial

  10. Factoring trinomials 100 • Factor this trinomial • Answer: (x+1)(x+4)

  11. Factoring trinomials 200 • Factor this • Answer: 2(x-3)(x+4)

  12. Factoring trinomials 300 • Factor this • Answer: 4(x+9)(x+4)

  13. Factoring trinomials 400 • -8r+15 • Answer: (x-3)(x-5)

  14. Factor by Grouping 100 • 8+2+12r+3 • (2+3)(4r+1)

  15. Factor by Grouping 200 • 4r³-6-6r+9 • (2-3)(2r-3)

  16. Factor by Grouping 300

  17. Factor by Grouping 400 • (3+5r)(r-2b)

  18. Solving equations by Factoring100 • r=-2 x=3

  19. Solving equations by Factoring200 • x=-7 x=8

  20. Solving equations by Factoring300 • x=-4 x=7

  21. Solving equations by Factoring400

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