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Factoring

Factoring. 2-7-3. Review of Distribution. Distribute 6(2x+1) 12x+6. Factoring. Assume 12x+6 is the result of distribution. What did it look like before the distribution was done? There was something outside a set of parenthesis and two terms inside the parenthesis.

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Factoring

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  1. Factoring 2-7-3

  2. Review of Distribution • Distribute 6(2x+1) • 12x+6

  3. Factoring • Assume 12x+6 is the result of distribution. • What did it look like before the distribution was done? • There was something outside a set of parenthesis and two terms inside the parenthesis.

  4. Factoring the opposite of Distribution • To FACTOR an expression, separate so that the smallest possible pieces called factors multiply together to get the original expression.

  5. Greatest Common Factor • Look at each term and find the largest factor that is in all terms. • This is the GCF. • Find the largest number that divides evenly into 72, 60 and 36. This number goes in front of the parenthesis.

  6. Example: • Divide each term by the common factor.

  7. Example: • Fill in the positions in the parenthesis. • Distribute to check the factoring.

  8. . • The largest factor in all terms is 8xy. • When the division is done there shouldn’t be any negative exponents. • Notice the negative in the third term. • Divide each term by the common factor.

  9. .

  10. The division can be done in your head, but some students need to write it down.

  11. Examples: • 15y-25= • 5(3y-5) • -2/3y-10/3= • -2/3(y+5)

  12. Examples: • 6x2-9x+12= • 3(2x2-3x+4)

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