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anonymous

  • one year ago

If x = 1 is a zero of the polynomial function f(x) = 3x3 − 8x2 + 3x + 2, which of the following is another zero of f(x)? MEDAL AND FAN PLEASE

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  1. anonymous
    • one year ago
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    @welshfella @WazapxD @Michele_Laino

  2. anonymous
    • one year ago
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    wouldnt be a x behind 2

  3. anonymous
    • one year ago
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    4x^3-8x^2+3x+2

  4. anonymous
    • one year ago
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    ima work this out brb

  5. anonymous
    • one year ago
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    ok

  6. anonymous
    • one year ago
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    whats the answer choices

  7. anonymous
    • one year ago
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    (x-2) (3x+1) (x-1) are the factors of the polynomial function

  8. anonymous
    • one year ago
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    sets of zeroes are x=2 x= -1/3 x=1

  9. anonymous
    • one year ago
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    The answer choices are 2, -2, -1, 5

  10. anonymous
    • one year ago
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    it is 2

  11. anonymous
    • one year ago
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    how?

  12. anonymous
    • one year ago
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    you need to factor the trinomial function to find the zeroes

  13. anonymous
    • one year ago
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    but wouldn't it be -1,2, and 1/3

  14. anonymous
    • one year ago
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    yes that is correct they're 3 zeroes in a cube root unless one of the zeroes is repeated

  15. anonymous
    • one year ago
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    they are only looking for another one

  16. anonymous
    • one year ago
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    which is 2 or -1/3 since 1 is given

  17. anonymous
    • one year ago
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    ok. can i ask another?

  18. anonymous
    • one year ago
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    yes

  19. anonymous
    • one year ago
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    Anyone?

  20. welshfella
    • one year ago
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    this is the Descartes rule of signs which i've only got a vague memory of . I'll see if I can find a website for you. Or maybe someone who remembers it will come along..

  21. anonymous
    • one year ago
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    http://openstudy.com/study#/updates/50193b0ee4b04dfc808cb938

  22. anonymous
    • one year ago
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    Here is a link to a similar question

  23. anonymous
    • one year ago
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    But I still don't understand it :(

  24. welshfella
    • one year ago
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    http://www.purplemath.com/modules/drofsign.htm

  25. anonymous
    • one year ago
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    :) Thank you!!

  26. anonymous
    • one year ago
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    Which polynomial identity will prove that (3 + 6)2 = 81?

  27. anonymous
    • one year ago
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    power rule

  28. welshfella
    • one year ago
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    there are 3 changes of sign in this polymomial

  29. anonymous
    • one year ago
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    so would it be difference of squares?

  30. anonymous
    • one year ago
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    Square of a Binomial

  31. anonymous
    • one year ago
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    Which of the following is a polynomial with roots: −square root of 3, square root of 3, and −2?

  32. welshfella
    • one year ago
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    now you find f(-x) and count the sign changes again f(-x) = (-x)^6 −(- x)^5 − (-x)^4 + 4(-x)^3 − 12(-x)^2 + 12 = x^6 + x^5 - x^4 - 4x^3 -12x^2 + 12 - 2 changes of signs

  33. anonymous
    • one year ago
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    So for the positive would it be 4,2,0 sign changes?

  34. welshfella
    • one year ago
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    i missed one out for f(x) its 4 sign changes

  35. welshfella
    • one year ago
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    not sure - i'll have to re check

  36. anonymous
    • one year ago
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    Ok. So would the answer be positve:4,2,0 and negative 2,0 and complex:6,4,2,0

  37. welshfella
    • one year ago
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    yea 4,2 or 0 positive roots

  38. anonymous
    • one year ago
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    Which of the following is a polynomial with roots: −square root of 3, square root of 3, and −2?

  39. anonymous
    • one year ago
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    x3 − 2x2 − 3x + 6 x3 − 3x2 − 5x + 15 x3 + 2x2 − 3x − 6 x3 + 3x2 − 5x − 15

  40. anonymous
    • one year ago
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    is the answer B?

  41. welshfella
    • one year ago
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    yes i think you are right for the first one

  42. anonymous
    • one year ago
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    so is it B for the second question?

  43. welshfella
    • one year ago
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    roots sqrt3 - sqrt3 and -2 factors will be (x + 2)(x - sqrt3)(x + sqrt3) = (x +2)(x^2 - 3)

  44. welshfella
    • one year ago
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    expanding gives x^3 + 2x^2 - 3x - 6

  45. anonymous
    • one year ago
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    So it would be A?

  46. welshfella
    • one year ago
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    that is C

  47. anonymous
    • one year ago
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    really?

  48. anonymous
    • one year ago
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    x3 + 2x2 − 3x − 6

  49. anonymous
    • one year ago
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    That one?

  50. welshfella
    • one year ago
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    yes

  51. anonymous
    • one year ago
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    I thought it was A. But i believe u

  52. anonymous
    • one year ago
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    What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)?

  53. anonymous
    • one year ago
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    2x2 − 5x + 2 I got this as an answer

  54. anonymous
    • one year ago
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    yes?

  55. welshfella
    • one year ago
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    sorry I got called away lets see

  56. anonymous
    • one year ago
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    It's okay:)

  57. anonymous
    • one year ago
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    What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)? Just in case u needed the question again

  58. welshfella
    • one year ago
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    yes

  59. welshfella
    • one year ago
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    looks good

  60. anonymous
    • one year ago
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    Was I right?

  61. welshfella
    • one year ago
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    lol - i'm really slow with this one

  62. anonymous
    • one year ago
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    it's fine:)

  63. welshfella
    • one year ago
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    Yes you are right

  64. anonymous
    • one year ago
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    ok Using synthetic division, what is the quotient (2x3 − 2x − 12) ÷ (x − 2)?

  65. anonymous
    • one year ago
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    I got this as an answer: 2x2 + 4x + 6

  66. welshfella
    • one year ago
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    correct

  67. anonymous
    • one year ago
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    ok If x = 1 is a zero of the polynomial function f(x) = 3x3 − 8x2 + 3x + 2, which of the following is another zero of f(x)?

  68. anonymous
    • one year ago
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    i got -1

  69. welshfella
    • one year ago
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    f(-1) = -3 - 8 - 3 +2 = -12 so its not -1 as the last term is + 2 it might be -2 or 2

  70. anonymous
    • one year ago
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    both -2, and 2 are answer choices :(

  71. welshfella
    • one year ago
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    try f(2)

  72. welshfella
    • one year ago
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    f(2) = 3(8)- 8(4) + 6 + 2 = 24 - 32 + 8 = 0

  73. welshfella
    • one year ago
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    so its 2

  74. anonymous
    • one year ago
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    What is the remainder when (3x4 + 2x3 − x2 + 2x − 24) ÷ (x + 2)?

  75. anonymous
    • one year ago
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    Thank-you:) For this one I got 0 as a answer

  76. welshfella
    • one year ago
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    you should really be submitting them in different posts .. but ill do this last one

  77. anonymous
    • one year ago
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    Oh okay. I'm sorry :)

  78. welshfella
    • one year ago
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    f(-2) will give you the remainder

  79. anonymous
    • one year ago
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    so it's not 0?

  80. welshfella
    • one year ago
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    3(-2)^4 + 2(-2)^3 - (-2)^2 - 4 - 24 = 48 - 16 - 4 - 4 - 24 = 48 - 48 = 0

  81. welshfella
    • one year ago
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    correct

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