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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 =(x–3 ) (x–2 )
  3. x 2 +3x–10 =(x+ ) (x– ) . 10 5 1 | 2 5 =(x+5 ) (x–2 )
  4. x 2 +x–2 =(x+ ) (x– ) . 2 1 | 2 =(x+2 ) (x–1 )
  5. a 2 +4a+3 =(a+ ) (a+ ) . 2 1 | 2 =(a+3 ) (a+1 )
  6. m 2 +5m–14 =(m+ ) (m– ) . 14 7 1 | 2 7 =(m+7 ) (m–2 )
  7. y 2 –9y+20 =(y– ) (y– ) . 20 5 1 | 4 5 =(y–5 ) (y–4 )
  8. x 2 –6–x= x 2 –x–6 =(x– ) (x+ ) . 6 3 1 | 2 3 =(x–3 ) (x+2 )
  9. x 2 –9x+8 =(x– ) (x– ) . 8 1 | 8 =(x–8 ) (x–1 )
  10. c 2 +5c–24 =(c+ ) (c– ) . 24 8 1 | 3 8 =(c+8 ) (c–3 )
  11. x 2 –3x+2 =(x– ) (x– ) . 2 1 | 2 =(x–2 ) (x–1 )
  12. a 2 +7a+6 =(a+ ) (a+ ) . 6 1 | 6 =(a+6 ) (a+1 )
  13. y 2 –4y+3 =(y– ) (y– ) . 3 1 | 3 =(y–3 ) (y–1 )
  14. 12–8n+ n 2 = n 2 –8n+12 =(n– ) (n– ) . 12 6 1 | 2 6 =(n–6 ) (n–2 )
  15. x 2 +10x+21 =(x+ ) (x+ ) . 21 7 1 | 3 7 =(x+7 ) (x+3 )
  16. a 2 +7a–18 =(a+ ) (a– ) . 18 9 1 | 2 9 =(a+9 ) (a–2 )
  17. m 2 –12m+11 =(m– ) (m– ) . 11 1 | 11 =(m–11 ) (m–1 )
  18. x 2 –7x–30 =(x– ) (x+ ) . 30 10 1 | 3 10 =(x–10 ) (x+3 )
  19. n 2 +6n–16 =(n+ ) (n– ) . 16 8 1 | 2 8 =(n+8 ) (n–2 )
  20. 20+ a 2 –21a= a 2 –21a+20 =(a– ) (a– ) . 20 1 | 20 =(a–20 ) (a–1 )
  21. y 2 +y–30 =(y+ ) (y– ) . 30 6 1 | 5 6 =(y+6 ) (y–5 )
  22. 28+ a 2 –11a= a 2 –11a+28 =(a– ) (a– ) . 28 14 2 1 | 2 7 2 =(a–4 ) (a–7 )
  23. n 2 –6n–40 =(n– ) (n+ ) . 40 20 10 1 | 2 2 10 =(n–10 ) (n+4 )
  24. x 2 –5x–36 =(x– ) (x+ ) . 36 18 9 1 | 2 2 9 =(x–9 ) (x+4 )
  25. a 2 –2a–35 =(a– ) (a+ ) . 35 7 1 | 5 7 =(a–7 ) (a+5 )
  26. x 2 +14x+13 =(x+ ) (x+ ) . 13 1 | 13 1 =(x+13 ) (x+1 )
  27. a 2 +33–14a= a 2 –14a+33 =(a– ) (a– ) . 33 11 1 | 3 11 =(a–3 ) (a–11 )
  28. m 2 +13m–30 =(m+ ) (m– ) . 30 10 5 1 | 3 2 5 =(m+15 ) (m–2 )
  29. c 2 –13c–14 =(c– ) (c+ ) . 14 1 1 | 14 1 =(c–14 ) (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 =(x–9 ) (x–6 )
  32. a 2 +7a–60 =(a+ ) (a– ) . 60 30 15 5 1 | 2 2 3 5 =(a+12 ) (a–5 )
  33. x 2 –17x–60 =(x– ) (x+ ) . 60 30 15 5 1 | 2 2 3 5 =(x–20 ) (x+3 )
  34. x 2 +8x–180 =(x+ ) (x– ) . 180 90 45 15 5 1 | 2 2 3 3 5 =(x+18 ) (x–10 )
  35. m 2 –20m–300 =(m– ) (m+ ) . 300 150 75 25 5 1 | 2 2 3 5 5 =(m–30 ) (m+10 )
  36. x 2 +x–132 =(x+ ) (x– ) . 132 66 33 11 1 | 2 2 3 11 =(x+12 ) (x–11 )
  37. m 2 –2m–168 =(m– ) (m+ ) . 300 150 75 25 5 1 | 2 2 3 5 5 =(m–30 ) (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 =(m–25 ) (m–16 )
  40. a 2 +a–380 =(a+ ) (a– ) . 380 190 95 19 1 | 2 2 5 19 =(a+20 ) (a–19 )
  41. x 2 +12x–364 =(x+ ) (x– ) . 364 182 91 13 1 | 2 2 7 13 =(x+26 ) (x–14 )
  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 –30m–675 =(m– ) (m+ ) . 675 225 45 15 1 | 3 5 3 15 =(m–45 ) (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 –2x–528 =(x– ) (x+ ) . 528 264 132 66 33 11 1 | 2 2 2 2 3 11 =(x–24 ) (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 –4c–320 =(c– ) (c+ ) . 320 160 80 40 20 1 | 2 2 2 2 20 =(c–20 ) (c+16 )
  48. m 2 –8m–1008 =(m– ) (m+ ) . 1008 504 252 126 63 21 7 1 | 2 2 2 2 3 3 7 =(m–36 ) (m+28 )
Categories: Capítulo X