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Factoring Trinomials

This comprehensive guide walks you through the process of factoring trinomials completely. Learn how to identify the Greatest Common Factor (GCF), find the target product and target sum, and list the factors corresponding to these values. The guide includes practical examples with target products of various numbers and their factors. Gain insights into finding the pairs that combine to equal the middle term, ensuring you can effectively factor any trinomial expression. Master these techniques for success in polynomial factoring!

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Factoring Trinomials

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  1. Factoring Trinomials

  2. Factor Completely • Look for a GCF • Find the “target product” and “target sum” • List the factors of the “target product” • find the pair that combines to equal the middle term

  3. Factor Target sum Target product factors of 36 Their sum “combine” 1 X 36 37 or 35 2 X 18 20 or 16 3 X 12 15 or 9 4 X 9 13 or 5 6 X 6 12 or 0

  4. Factor Target sum Target product factors of 10 Their sum “combine” 1 X 10 11 or 9 2 X 5 7 or 3

  5. Factor Target sum Target product factors of 72 Their sum “combine” 73 or 71 1 X 72 2 X 36 38 or 34 3 X 24 27 or 21 4 X 18 22 or 14 18 or 6 6 X 12 8 X 9 17 or 1

  6. Factor 24 Factors of 24 1 X 24 2 X 12 3 X 8 4 X 6 Which will give you a Sum of 5?

  7. Factor 14 Factors of 14 1 X 14 2 X 7 Which will give you a Sum or Combination of -9?

  8. Factor 24 Factors of 24 1 X 24 2 X 12 3 X 8 4 X 6 Which will give you a Sum of 5?

  9. Factor Target sum Target product Products of 14 Their sum 1 X 14 15 or 13 2 X 7 9 or 5

  10. Factor 3 + + 1 2 1 Distribute to check your work!!!

  11. Factor

  12. Factor

  13. Factor

  14. Factor

  15. Factor

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