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Factoring using GCF Tuesday August 14 th 2012

Factoring using GCF Tuesday August 14 th 2012. GCF. Greatest Common Factor. What is a factor?. Lets look at the factors of 36:. 1, 2, 3, 4, 6, 9, 12, 18, 36. What is a factor?. You list the factors of 12:. 1, 2, 3, 4, 6, 12. What are the common factors of 12 and 36?.

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Factoring using GCF Tuesday August 14 th 2012

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  1. Factoring using GCFTuesday August 14th 2012

  2. GCF • Greatest • Common • Factor

  3. What is a factor? Lets look at the factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

  4. What is a factor? You list the factors of 12: 1, 2, 3, 4, 6, 12

  5. What are the common factors of 12 and 36? 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 12: 1, 2, 3, 4, 6, 12 Of these factors, which is the greatest or the GCF?

  6. common factor is a whole number that is a factor of each number. greatest common factor (GCF) is the greatest of their common factors. Example 1 Find the GCF of 30 and 42

  7. Caution:Do not confuse GCF with LCM. A multiple of a whole number is the product of the number and any nonzero whole number. A common multiple of two or more whole numbers is a multiple of each number. The least common multiple (LCM) of two or more whole numbers is the least of their common multiples. Example 2 • Find the LCM of 10 and 15

  8. Now lets apply GCF to polynomials: • Given the polynomial 2x + 10, determine the GCF. Example 3

  9. Now lets apply GCF to polynomials: • Given the polynomial 6x-2y, determine the GCF.

  10. Now lets apply GCF to polynomials: • Given the polynomial 2x2 + 6x, determine the GCF.

  11. Now lets apply GCF to polynomials: • Given the polynomial Find the GCF of 40a2b and 48ab4, determine the GCF.

  12. Determine the GCF for each of the following: 1. 2. 3. 4. 5.

  13. Now let’s factor • Factor 7x+14 using the GCF Example 4

  14. Factor 9x - 33 using the GCF

  15. Factor x2 + 8x using the GCF

  16. Example 5 Factor using GCF

  17. Factor these on your own looking for a GCF. 6. 7. 8.

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