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Warm Up - Factor

Warm Up - Factor. x 2 - 8x + 7 x 2 + 9x + 14. (x - 7)(x – 1). (x + 7)(x + 2). Factoring Trinomials when a  1. Last Term POSITIVE. Rule:. When the last term is POSITIVE, the middle sign will be the sign that goes inside BOTH parenthesis. 2x 2 – 5x + 3. ( )( ).

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Warm Up - Factor

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  1. Warm Up - Factor • x2 - 8x + 7 • x2 + 9x + 14 (x - 7)(x – 1) (x + 7)(x + 2)

  2. Factoring Trinomials when a  1

  3. Last Term POSITIVE

  4. Rule: • When the last term is POSITIVE, the middle sign will be the sign that goes inside BOTH parenthesis

  5. 2x2 – 5x + 3 ( )( ) 2x x – 3 – 1 For polynomials, how is factoring related to multiplying?

  6. 5x2 + 11x + 2 ( )( ) 5x x + 1 + 2 For polynomials, how is factoring related to multiplying?

  7. 3x2 – 10x + 7 ( )( ) 3x x – 7 – 1 For polynomials, how is factoring related to multiplying?

  8. 2x2 – 7x + 6 ( )( ) 2x x – 3 – 2 For polynomials, how is factoring related to multiplying?

  9. You Try... 2y2 – 17y + 35 (2y – 7)(y – 5) 6x2 – 21x + 15 3(x – 1)(2x – 5) For polynomials, how is factoring related to multiplying?

  10. You Try... 4x2 – 15x + 9 (4x – 3)(x – 3) 3x2 + 17x + 20 (3x + 5)(x + 4) For polynomials, how is factoring related to multiplying?

  11. Last Term NEGATIVE

  12. Rule: • When the last term is NEGATIVE… • If the middle number is Positive, then the larger number will be positive. • If the middle number is Negative, then the larger number will be negative.

  13. 3x2 – 20x – 7 ( )( ) x 3x + 1 – 7 For polynomials, how is factoring related to multiplying?

  14. 2x2 + 3x – 5 ( )( ) 2x x + 5 – 1 For polynomials, how is factoring related to multiplying?

  15. 5m2 + 14m – 3 ( )( ) 5m – 1 m + 3 For polynomials, how is factoring related to multiplying?

  16. 2m2 – 3m – 9 ( )( ) 2m m + 3 – 3 For polynomials, how is factoring related to multiplying?

  17. 2x2 – 11x – 21 ( )( ) 2x + 3 x – 7 For polynomials, how is factoring related to multiplying?

  18. 3x2 – 5x – 12 ( )( ) 3x + 4 x – 3 For polynomials, how is factoring related to multiplying?

  19. You Try... 7y2 – 26y – 8 (7y + 2)(y – 4) 4x2 + 7x – 15 (4x – 5)(x + 3)

  20. You Try... 4x2 – x – 5 (4x – 5)(x + 1) 9x2 – 9x – 28 (3x + 4)(3x – 7)

  21. Sometimes you can factor out a GCF 1st!

  22. 2x2y – 16xy + 32y 2y(x2 – 8x + 16) 2y( )( ) x x – 4 – 4

  23. -3x2 – 18x – 27 -3(x2 + 6x + 9) -3( )( ) x x + 3 + 3

  24. Class Work • Factoring WS Last Term + or – • 26 problems

  25. Home Work • SPW 13.6

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