factorización por aspa doble especial

Factorizar por el método de ASPA DOBLE ESPECIAL y por el método de RUFFINI 3 2 x - 4x + x + 6 3 2 Solución: x - 4x + x + 6 Descomponiendo Convenientemente

x

2

-x -3

x 2

-2

2

En el 1er. Aspa: -3x -x = - 4x

2

En el 2er. Aspa: -2x+3x= +x

Factorizando se tiene: (x - 2)(x + 1)(x - 3)

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40.

POLINOMIOS x - 2x - 5x + 6 3 2 x - 3x - 10x + 24 3 2 x - 4x - 17x + 60 3 2 x - 4x - 11x + 30 3 2 x - 4x - 7x + 10 3 2 x - 5x - 8x + 12 3 2 x - 5x - 12x + 36 3 2 x - 5x - 18x + 72 3 2 x + x - 26x + 24 3 X - 28x + 48 3 2 x - x - 30x + 72 3 2 x - 2x - 23x + 60 3 2 x - 3x - 16x + 48 3 2 x - 4x - 9x + 36 3 2 x - 5x - 2x + 24 3 2 x - 6x + 5x + 12 3 2 x + 6x + 5x - 12 3 2 x + 2x - x – 2 3 2 x + x - 4x – 4 3 2 x + 2x - 5x - 6 3 2 x + 3x - 4x - 12 3 2 x + 3x - 10x – 24 3 2 2x + 2x - 2x - 2 3 4x + 6x - 2 3 2 6x + 10x + 2x - 2 3 2 6x + 7x - x - 2 3 2 6x + 5x - 2x - 1 3 2 8x + 10x + x - 1 3 2 8x + 6x - 3x – 1 3 2 8x + 2x - 8x - 2 3 2 8x - 2x - 13x - 3 3 2 4x - 8x - 11x – 3 3 2 4x - 8x - x + 2 3 2 4x - 8x - 15x + 9 3 2 10x - 17x - 7x + 2 3 2 6x + x - 31x + 10 3 2 6x - 8x - 34x + 12 3 2 2x - 11x + 17x – 6 3 2 2x - 7x + 7x - 2 3 2 24 - 26x + 9x - 1 3

2

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40.

RESPUESTAS (x - 1)·(x + 2)·(x - 3) (x - 2)·(x + 3)·(x - 4) (x - 3)·(x + 4)·(x - 5) (x - 2)·(x + 3)·(x - 5) (x - 1)·(x + 2)·(x - 5) (x - 1)·(x + 2)·(x - 6) (x - 2)·(x + 3)·(x - 6) (x - 3)·(x + 4)·(x - 6) (x - 4)·(x + 6)·(x - 1) (x - 4)·(x + 6)·(x - 2) (x - 4)·(x + 6)·(x - 3) (x - 4)·(x + 5)·(x - 3) (x - 4)·(x + 4)·(x - 3) (x - 4)·(x + 3)·(x - 3) (x - 4)·(x + 2)·(x - 3) (x - 4)·(x + 1)·(x - 3) (x + 4)·(x - 1)·(x + 3) (x + 1)·(x - 1)·(x + 2) (x + 1)·(x - 2)·(x + 2) (x + 1)·(x - 2)·(x + 3) (x + 2)·(x - 2)·(x + 3) (x + 2)·(x - 3)·(x + 4) (2x + 2)·(x - 1)·(x + 1) (2x + 2)·(2x - 1)·(x + 1) (2x + 2)·(3x - 1)·(x + 1) (3x + 2)·(2x - 1)·(x + 1) (3x + 1)·(2x - 1)·(x + 1) (2x + 1)·(4x - 1)·(x + 1) (4x + 1)·(2x - 1)·(x + 1) (4x + 1)·(2x - 2)·(x + 1) (4x + 1)·(2x - 3)·(x + 1) (2x + 1)·(x - 3)·(2x + 1) (2x + 1)·(x - 2)·(2x - 1) (2x + 3)·(x - 3)·(2x - 1) (2x + 1)·(x - 2)·(5x - 1) (2x + 5)·(x - 2)·(3x - 1) (2x + 4)·(x - 3)·(3x - 1) (2x - 1)·(x - 2)·(x - 3) (2x - 1)·(x - 1)·(x - 2) (2x - 1)·(3x - 1)·(4x - 1)