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anonymous

  • one year ago

Which of the following is a factor of f(x) = 5x3 + 24x2 − 75x + 14?

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  1. anonymous
    • one year ago
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    @welshfella

  2. anonymous
    • one year ago
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    @LynFran

  3. anonymous
    • one year ago
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    i tried grouping it didnt work

  4. welshfella
    • one year ago
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    yea - i cant see grouping working here

  5. anonymous
    • one year ago
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    so what would work?

  6. welshfella
    • one year ago
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    we could try the factor theorem like if f(1) = 0 then x - 1 is a factor but that can be a bit tediuos

  7. anonymous
    • one year ago
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    x-1 or x+1?

  8. welshfella
    • one year ago
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    try -1 and 1 but thats no good have you got a list of options?

  9. anonymous
    • one year ago
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    (x + 1 over 2) (x − 1 over 2) (x + 2) (x − 2)

  10. welshfella
    • one year ago
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    f(2) = 0 so that makes (x - 20 a factor

  11. welshfella
    • one year ago
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    * (x - 2)

  12. LynFran
    • one year ago
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    we can factorize here (x+7)(x-2)(5x-1)

  13. welshfella
    • one year ago
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    5(8) + 24(2) - 150 + 14 = 0

  14. anonymous
    • one year ago
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    thanks guys :)

  15. anonymous
    • one year ago
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    i have another question

  16. welshfella
    • one year ago
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    you're welcome

  17. anonymous
    • one year ago
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    will u answer it?

  18. welshfella
    • one year ago
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    i'll try

  19. anonymous
    • one year ago
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    Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the end behavior.

  20. welshfella
    • one year ago
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    the y-intercept is easy its value of y when x = 0 = 0 - 0 + 0 - 96

  21. anonymous
    • one year ago
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    so its (0,96)?

  22. welshfella
    • one year ago
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    you need to factor it to find the x - intercepts

  23. welshfella
    • one year ago
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    (0 , -96)

  24. anonymous
    • one year ago
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    ok

  25. anonymous
    • one year ago
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    and for the x-imtercept?

  26. welshfella
    • one year ago
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    we can try factoring by look at factors of 96

  27. LynFran
    • one year ago
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    factor out the function we get (x-3)(x-4)(x-8) now let each bracket equal 0 and solve for x

  28. anonymous
    • one year ago
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    so x = 3,4 and 8?

  29. welshfella
    • one year ago
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    2*2*2*2*2*3 (x -3) might be a factor f(3) = 0 so that one - oh LynFran has done it already

  30. anonymous
    • one year ago
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    so which one of the 3 is my answer?

  31. LynFran
    • one year ago
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    all 3 are the x intercept

  32. anonymous
    • one year ago
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    oh

  33. welshfella
    • one year ago
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    @LynFran = please explain how you got that . Openstudy advises us to guide the poster to the answer

  34. anonymous
    • one year ago
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    and what is the end point,

  35. anonymous
    • one year ago
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    how do we find the end point?

  36. anonymous
    • one year ago
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    how do we find the end point?

  37. welshfella
    • one year ago
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    lets look at the highest root which is 8 the graph passes through this point (8,0) so we need to look at what hapenns to f(x) for x > 8 find f(9) and f(10) f(9) = 30 f(10) = 84 - the graph is rising towards infinity at the endpoint

  38. anonymous
    • one year ago
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    so the answer is infinity?

  39. welshfella
    • one year ago
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    yes

  40. anonymous
    • one year ago
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    ok thanks man

  41. welshfella
    • one year ago
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    I was wondering how LynFran was factoring the function so quickly - she was using software to do it for her! Thats no way to learn math - you cant use software in an examination.

  42. welshfella
    • one year ago
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    yw

  43. anonymous
    • one year ago
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    lol @welshfella

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