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Ejercicio 98

Gestor Baldor
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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 )
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