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Factorizacion de polinomios pag 97
  • 1. Factorizar cada polinomio como corresponda: 12x3+22+6x
A) 2x(6x2+x-3)
B) 2x(6x2+x+3)
C) (6x2+x-3)
D) (6x2+x+3)
  • 2.
A) x
B) x
C) x
D) x
  • 3. 2y2 -yz +6y -3z
A) (2y+z)(y+3)
B) (2y-z)(y+3)
C) (2y+z)(y-3)
D) (2y-z)(y-3)
  • 4.
A) xy3(6x4y2+RAIZ2x+14)
B) xy3(6x4y2+RAIZ2x+14)
C) xy3(6x4y2+RAIZ2x+14)
D) xy3(6x4y2+RAIZ2x+14)
  • 5. 15at +3bt +5as +bs
A) (3t+s)(5a+b)
B) (3t-s)(5a-b)
C) (3t-s)(5a+b)
D) (3t+s)(5a-b)
  • 6.
A) (b2+RAIZ2-3)
B) 3a2b (b2-RAIZ2+3)
C) (b2+RAIZ2+3)
D) 3(b2-RAIZ2-3)
  • 7. xyz3 -xy3z + x3yz
A) xyz(z2-y2-x2)
B) xyz(z2-y2-x2)
C) xyz(z2+y2+x2)
D) xyz(z2-y2+x2)
  • 8. x3+2x+x2+2
A) x2*2
B) x*1
C) (x2+2)
D) (x2+2)(x+1)
  • 9. 2p3-p2+2p-1
A) (p2+1)(2p-1)
B) (p2+1)(2p+1)
C) (p2-1)(2p+1)
D) (p2-1)(2p-1)
  • 10. 2uv-5wz+2uz-5wv
A) v*z
B) 2u*5w
C) (2u-5w)(v+z)
D) 2u(v+z)*5w(z+v)
  • 11. Utilice formulas de factorizacion para factorizar el polinomio: 36x2-25
A) (6x-5)(6x+5)
B) (6x+5)(6x-5)
C) (6x-5)(6x-5)
D) (6x+5)(6x+5)
  • 12. a2-4b2
A) (a-b+a-b)2
B) (a-b)2
C) (a-2b)(a+2b)
D) (a-4b)4
  • 13. 4x2y2-1
A) (2xy-1)(2xy+1)
B) (2xy+1)(2xy-1)
C) (2xy-1)(2xy-1)
D) (2xy+1)(2xy+1)
  • 14. 49x2-64y2
A) (x-y)49*64
B) (7x-8y)+(7x+8y)
C) (7x-8y)(7x+8y)
D) (64y-49x)4
  • 15. x4-y4
A) (x+y)(x-y)
B) (x+y)(x+y)(x2+y2)
C) (x-y)(x+y)
D) (x-y)(x+y)(x2+y2)
  • 16. x6+y6
A) 0
B) (x+y)(x6+y6)
C) (x+y)2(x3+y3)
D) -x6y6
  • 17. x8-y8
A) (x2-y2)(x4+y4)
B) (x-y)(x+y)(x2+y2)(x4+y4)
C) (x2+y2)(x4+y4)
D) (x+y)(x-y)(x2+y2)(x4+y4)
  • 18. a3-64b3
A) (x-y)(x+y)(x2+y2)
B) (a-4b)(a2+4ab+16b2)
C) (a-4b)(a+4a)
D) 0
  • 19. 8x3y3+27
A) (2xy+3)(4x2y2+6xy-9)
B) (2xy+3)(4x2y2-6xy+9)
C) (2xy-3)(4x2y2-6xy+9)
D) (2xy-3)(4x2y2+6xy-9)
  • 20. y3+125
A) (y+5)(y2-5y+25)
B) (y+5)(y-5)(y+5)
C) 0
D) (y2+5y)
  • 21. y6-1
A) (y-1)(y+1)(y2+y+1)(y2-y+1)
B) (y2-y+1)(y2-y+1)
C) (y-1)(y-1)(y2+y+1)(y2-y+1)
D) (y2+y+1)(y2-y+1)
  • 22. 1-x3
A) (1-x)(1+x)
B) x3x3
C) (1-x)(1+x+x2)
D) 0
  • 23. Factorizar los polinomios cuadraticos: x2-5x+6
A) (x-3)(x-2)
B) (x-3)+(x-2)
C) (x-3)2
D) (x-3)-(x-2)
  • 24. x2-10x+24
A) (x-4)(x+6)
B) 0
C) (x+4)(x+6)
D) (x-4)(x-6)
  • 25. y2+7y+10
A) (y+5)+(y+2)
B) (y+5)-(y+2)
C) (y+5)(y+2)
D) (y+5)(y+2)2
  • 26. y4+10y2+21
A) (y2+3)(y2+7)
B) (y2-3)(y2-7)
C) (y2+3)2
D) 0
  • 27. x4-3x2-4
A) (x+2)2(x2+1)
B) (x2+1)2
C) (x-2)(x+2)(x2+1)
D) (x-2)(x+2)(x2-1)
  • 28. x2+4x-12
A) (x-2)3
B) 0
C) (x+6)(x-2)
D) (x-6)(x-2)
  • 29. r2+2r+1
A) (r-5)2
B) (r+5)(r-5)
C) (r+5)2
D) (r-5)(r+5)
  • 30. s2+5s-14
A) x
B) x
C) x
D) x
  • 31. x2-xy-2y2
A) (x+2y)(x-y)
B) (x-2y)2(x+y)
C) (x-2y)2
D) (x-2y)(x+y)
  • 32. x2-4xy+3y2
A) (x-y)4
B) (x-3y)(x-y)
C) 0
D) (4xy)(x2+xy-3y)
  • 33. x2+10x+25
A) (x+5)(x-5)
B) (x-5)2
C) (x-5)(x+5)
D) (x+5)2
  • 34. 4x2+12x+9
A) (3x-2)(2x+3)
B) (3x+2)(2x+3)
C) (3+2x)2
D) (3+2x)
  • 35. s2-8st+16
A) (s+4t)2
B) (s+4t)(s-4t)
C) (s-4t)2
D) (s-4t)(s+4t)
  • 36. 9m2-6mv+v2
A) (2mv)(3)
B) (3m-v)2
C) 0
D) (3mv-3mv)
  • 37. 2p2+7p+5
A) (2p+5)(p+1)
B) (2p+5)2
C) (2p+5)(p+1)2
D) (2p+5)2(p+1)
  • 38. 8q2+2q-3
A) (6q)(3-1)
B) (2q+3)(4q-1)
C) 0
D) (8q-3)(6q-1)
  • 39. 6a4+13a2-15
A) (6a2-5)(a2+3)
B) (6a2-5)(a2-3)
C) (6a2+5)(a2+3)
D) (6a2+5)(a2+3)
  • 40. 10b4-23b3+12
A) (3+2b)2
B) (5b2-3)(2b2-4)
C) 0
D) (5b2-4)(5b2-3)
  • 41. 2x2-7xy+3y2
A) (2x-y)(x+3y)
B) (2x2+y)(x-3y)
C) (2x+y)(x-3y)
D) (2x-y)(x-3y)
  • 42. -3x2-5xy+12y2
A) (3y-3x)-(4y-x)
B) (3y+3x)(4y-x)
C) (3y-3x)+(4y-x)
D) (3y-3x)(4y-x)
  • 43. Emplee cualquier metodo para factorizar los polinomios: (x2+1)3+(y2-1)3
A) (x2+y2)(x4+y4+x2y2-3x2)
B) (x2+y2)(x4-y4-x2y2-3x2)
C) (x2-y2)(x4+y4+x2y2+3x2)
D) (x2+y2)(x4+y4+x2y2+3x2)
  • 44. (4-x2)3-(4-y2)3
A) 0
B) x
C) x
D) x
  • 45. x(x-y)+y(y-x)
A) (x+y)2
B) (x-y)2
C) (x-y)(x+y)
D) (x-y)(x-y)
  • 46. x(x-y)-y(y-x)
A) (x-y)(x-y)
B) (x+y)(x+y)
C) (x+y)(x-y)
D) (x-y)(x+y)
  • 47. (1-x2)3-(1-y2)3
A) (y-x)(y+x)(x4+y4-x2y2-3x2-3y2+3)2
B) (y-x)(y+x)(x4+y4-x2y2-3x2-3y2-3)
C) (y-x)(y+x)(x4+y4-x2y2-3x2-3y2+3)
D) (y+x)(y+x)(x4+y4+x2y2-3x2-3y2+3)
  • 48. (x2-4)3 +(4-y2)3
A) x
B) x
C) 0
D) x
  • 49. 1-256v8
A) (1-2v)(1+2v)2(1+4v2)(1+16v4)
B) (1-2v)(1+2v)(1-4v2)(1+16v4)
C) (1-2v)(1+2v)(1+4v2)(1-16v4)
D) (1-2v)(1+2v)(1+4v2)(1+16v4)
  • 50. s8-6561
A) (s-3)(s+3)(s2+9)(s4+81)
B) (s2+9)(s4+81)
C) (s-3)2
D) -s6569
  • 51. x6+7x3-8
A) (x+2)(x-1)(x2+2x-4)(x2+x+1)
B) (x+2)(x-1)(x2-2x+4)(x2+x-1)
C) (x+2)(x-1)(x2-2x+4)(x2+x+1)
D) (x+2)(x-1)(x2-2x+4)(x2-x+1)
  • 52. z10-5z5-6
A) x
B) c
C) c
D) c
  • 53. r3s3-8t3
A) (rs-2t)(r2s2+2rst-4t2)
B) (rs-2t)(r2s2+2rst+4t2)
C) (rs+2t)(r2s2+2rst+4t2)
D) (rs-2t)(r2s2-2rst+4t2)
  • 54. 25c2d2-x2y2
A) (5cd-xy)(5cd-xy)
B) (5cd-xy)(5cd+xy)
C) (5cd+xy)2
D) (5cd+xy)-(5cd+xy)
  • 55. a3+a2b-b3-ab2
A) (a-b)+(a+b)2
B) (a-b)(a-b)2
C) (a+b)+(a+b)2
D) (a-b)(a+b)2
  • 56. p3-pq2+p2q-q3
A) (p-q)(p+q)2
B) (p+q)2
C) (p+q)2(p-q)
D) (p-q)+(p+q)2
  • 57. 4z2+7zy-2y2
A) (4z-y)(z-2y)
B) (4z+y)(z-2y)
C) (4z-y)(z+2y)
D) (4z+y)(z+2y)
  • 58. 36x2+12xy+y2
A) (6x+y)(6x-y)
B) (6x+y)2
C) (6x+y)
D) (6x-y)2
  • 59. 16a2-24ab+9b2
A) (4a-3b)2
B) (4a+3b)2
C) (4a-3b)(4a+3b)
D) (4a+3b)(4a)
  • 60. 4m2+2mn-12n2
A) (2m2-mn-6n2)
B) (-mn+mn)(6+2)
C) 2(2m2+mn-6n2)
D) (mn+mn)(6+2)
  • 61. Use las formulas de factorizacion (Algunos coeficientes no seran enteros) : x2-3
A) (x+RAIZ3)(x+RAIZ3)
B) (x-RAIZ3)(x+RAIZ3)
C) (x-RAIZ3)(x-RAIZ3)
D) (x-RAIZ3)(x+RAIZ3)
  • 62. 2r2-1
A) (RAIZ3y-1)(RAIZ3Y+1)
B) (RAIZ3y+1)(RAIZ3y+1)
C) (RAIZ5y+1)2
D) (RAIZ3y+1)2
  • 63. 5y2-1
A) (RAIZ5y-1)(RAIZ5y+1)
B) (RAIZ5y+1)2
C) (RAIZ5y+1)(RAIZ5y+1)
D) (RAIZ3y+1)2
  • 64.
A) X
B) X
C) X
D) X
  • 65.
A) (a+1/2)(a-1/2)
B) (a+1/2)(a-1/2)
C) (a+1/2)2
D) (a-1/2)2
  • 66.
A) X
B) X
C) X
D) X
  • 67. a2-2b2
A) (a-RAIZ2b)(a+RAIZ2b)
B) (a+RAIZ2b)(a-RAIZ2b)
C) (a-RAIZ2b)(a-RAIZ2b)
D) (a+RAIZ2b)(a+RAIZ2b)
  • 68. 3u2-4v2
A) X
B) X
C) X
D) X
  • 69. 24-x2
A) (2RAIZ6-x)(2RAIZ6+x)
B) (2RAIZ6-x)-(2RAIZ6+x)
C) (2RAIZ6-x)+(2RAIZ6+x)
D) (2RAIZ6+x)(2RAIZ6+x)
  • 70.
A) X
B) X
C) X
D) X
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