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CAPITULO X

Descomposición Factorial
Ejercicio 98
Factorar o descomponer en dos factores:
  1. x 2 +7x+10 =(x+ ) (x+ ) . 10 5 1 | 2 5 =(x+5 ) (x+2 )
  2. x 2 5x+6 =(x ) (x ) . 6 3 1 | 2 3 =(x3 ) (x2 )
  3. x 2 +3x10 =(x+ ) (x ) . 10 5 1 | 2 5 =(x+5 ) (x2 )
  4. x 2 +x2 =(x+ ) (x ) . 2 1 | 2 =(x+2 ) (x1 )
  5. a 2 +4a+3 =(a+ ) (a+ ) . 2 1 | 2 =(a+3 ) (a+1 )
  6. m 2 +5m14 =(m+ ) (m ) . 14 7 1 | 2 7 =(m+7 ) (m2 )
  7. y 2 9y+20 =(y ) (y ) . 20 5 1 | 4 5 =(y5 ) (y4 )
  8. x 2 6x= x 2 x6 =(x ) (x+ ) . 6 3 1 | 2 3 =(x3 ) (x+2 )
  9. x 2 9x+8 =(x ) (x ) . 8 1 | 8 =(x8 ) (x1 )
  10. c 2 +5c24 =(c+ ) (c ) . 24 8 1 | 3 8 =(c+8 ) (c3 )
  11. x 2 3x+2 =(x ) (x ) . 2 1 | 2 =(x2 ) (x1 )
  12. a 2 +7a+6 =(a+ ) (a+ ) . 6 1 | 6 =(a+6 ) (a+1 )
  13. y 2 4y+3 =(y ) (y ) . 3 1 | 3 =(y3 ) (y1 )
  14. 128n+ n 2 = n 2 8n+12 =(n ) (n ) . 12 6 1 | 2 6 =(n6 ) (n2 )
  15. x 2 +10x+21 =(x+ ) (x+ ) . 21 7 1 | 3 7 =(x+7 ) (x+3 )
  16. a 2 +7a18 =(a+ ) (a ) . 18 9 1 | 2 9 =(a+9 ) (a2 )
  17. m 2 12m+11 =(m ) (m ) . 11 1 | 11 =(m11 ) (m1 )
  18. x 2 7x30 =(x ) (x+ ) . 30 10 1 | 3 10 =(x10 ) (x+3 )
  19. n 2 +6n16 =(n+ ) (n ) . 16 8 1 | 2 8 =(n+8 ) (n2 )
  20. 20+ a 2 21a= a 2 21a+20 =(a ) (a ) . 20 1 | 20 =(a20 ) (a1 )
  21. y 2 +y30 =(y+ ) (y ) . 30 6 1 | 5 6 =(y+6 ) (y5 )
  22. 28+ a 2 11a= a 2 11a+28 =(a ) (a ) . 28 14 2 1 | 2 7 2 =(a4 ) (a7 )
  23. n 2 6n40 =(n ) (n+ ) . 40 20 10 1 | 2 2 10 =(n10 ) (n+4 )
  24. x 2 5x36 =(x ) (x+ ) . 36 18 9 1 | 2 2 9 =(x9 ) (x+4 )
  25. a 2 2a35 =(a ) (a+ ) . 35 7 1 | 5 7 =(a7 ) (a+5 )
  26. x 2 +14x+13 =(x+ ) (x+ ) . 13 1 | 13 1 =(x+13 ) (x+1 )
  27. a 2 +3314a= a 2 14a+33 =(a ) (a ) . 33 11 1 | 3 11 =(a3 ) (a11 )
  28. m 2 +13m30 =(m+ ) (m ) . 30 10 5 1 | 3 2 5 =(m+15 ) (m2 )
  29. c 2 13c14 =(c ) (c+ ) . 14 1 1 | 14 1 =(c14 ) (c+1 )
  30. x 2 +15x+56 =(x+ ) (x+ ) . 56 28 14 7 1 | 2 2 2 7 =(x+8 ) (x+7 )
  31. x 2 15x+54 =(x ) (x ) . 54 27 9 1 | 2 3 9 =(x9 ) (x6 )
  32. a 2 +7a60 =(a+ ) (a ) . 60 30 15 5 1 | 2 2 3 5 =(a+12 ) (a5 )
  33. x 2 17x60 =(x ) (x+ ) . 60 30 15 5 1 | 2 2 3 5 =(x20 ) (x+3 )
  34. x 2 +8x180 =(x+ ) (x ) . 180 90 45 15 5 1 | 2 2 3 3 5 =(x+18 ) (x10 )
  35. m 2 20m300 =(m ) (m+ ) . 300 150 75 25 5 1 | 2 2 3 5 5 =(m30 ) (m+10 )
  36. x 2 +x132 =(x+ ) (x ) . 132 66 33 11 1 | 2 2 3 11 =(x+12 ) (x11 )
  37. m 2 2m168 =(m ) (m+ ) . 300 150 75 25 5 1 | 2 2 3 5 5 =(m30 ) (m+10 )
  38. c 2 +24c+135 =(c+ ) (c+ ) . 135 45 15 1 | 3 3 15 =(c+15 ) (c+9 )
  39. m 2 41m+400 =(m ) (m ) . 400 200 100 50 25 1 | 2 2 2 2 25 =(m25 ) (m16 )
  40. a 2 +a380 =(a+ ) (a ) . 380 190 95 19 1 | 2 2 5 19 =(a+20 ) (a19 )
  41. x 2 +12x364 =(x+ ) (x ) . 364 182 91 13 1 | 2 2 7 13 =(x+26 ) (x14 )
  42. a 2 +42a+432 =(a+ ) (a+ ) . 432 216 108 54 27 9 3 1 | 2 2 2 2 3 3 3 =(a+20 ) (a+19 )
  43. m 2 30m675 =(m ) (m+ ) . 675 225 45 15 1 | 3 5 3 15 =(m45 ) (m+15 )
  44. y 2 +50y+336 =(y+ ) (y+ ) . 336 168 84 42 1 | 2 2 2 42 =(y+42 ) (y+8 )
  45. x 2 2x528 =(x ) (x+ ) . 528 264 132 66 33 11 1 | 2 2 2 2 3 11 =(x24 ) (x+22 )
  46. n 2 +43n+432 =(n+ ) (n+ ) . 432 216 108 54 27 1 | 2 2 2 2 27 =(n+16 ) (n+27 )
  47. c 2 4c320 =(c ) (c+ ) . 320 160 80 40 20 1 | 2 2 2 2 20 =(c20 ) (c+16 )
  48. m 2 8m1008 =(m ) (m+ ) . 1008 504 252 126 63 21 7 1 | 2 2 2 2 3 3 7 =(m36 ) (m+28 )