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anonymous

  • one year ago

What is the remainder when (x3 − 6x2 − 42x + 79) is divided by (x + 5)?

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  1. welshfella
    • one year ago
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    use reminder theorem The remainder when P(x) is divided by (x - a) = f(a)

  2. welshfella
    • one year ago
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    so here you need to find P(-5)

  3. anonymous
    • one year ago
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    i tried plugging in -5, but i kept getting numbers that weren't in the answer choices

  4. welshfella
    • one year ago
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    (P(x) is your polynomial)

  5. welshfella
    • one year ago
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    oh maybe the choices are all wrong i'll see what i get

  6. anonymous
    • one year ago
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    okay thank you

  7. welshfella
    • one year ago
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    i get 14

  8. welshfella
    • one year ago
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    f(-5) = -125 - 150 - (42*-5) + 79

  9. anonymous
    • one year ago
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    thats one of the answer choices! and i was doing +150 idk why lol oops

  10. anonymous
    • one year ago
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    can you help me with one more

  11. welshfella
    • one year ago
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    ok

  12. anonymous
    • one year ago
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    Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.

  13. welshfella
    • one year ago
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    well the y-intercept occurs when x = 0 so find f(0) and you get that one

  14. anonymous
    • one year ago
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    okay, is the end behavior down?

  15. welshfella
    • one year ago
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    hold on

  16. anonymous
    • one year ago
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    and i got -36 for the y-intercept

  17. welshfella
    • one year ago
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    right

  18. anonymous
    • one year ago
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    yay

  19. welshfella
    • one year ago
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    its been a while since i did end behaviours fo find the x intercepts we need to solve x^3 -11x^2 + 36x - 36

  20. anonymous
    • one year ago
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    So set it equal to 0?

  21. welshfella
    • one year ago
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    yes

  22. welshfella
    • one year ago
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    as the last number is 36 we could try 2,3 and 6 to see if they are roots

  23. anonymous
    • one year ago
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    Can there be more than one answer when you do that tho

  24. welshfella
    • one year ago
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    f(2) = 8 - 44 + 72 - 36 = 0 yes x=2 is one x-intercept

  25. anonymous
    • one year ago
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    i think they all work

  26. welshfella
    • one year ago
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    yes they do thats is pure luck!!!!

  27. welshfella
    • one year ago
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    lol

  28. anonymous
    • one year ago
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    I think the end behavior is down because it hits x at 3 points

  29. welshfella
    • one year ago
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    normally i would divide the polynomial by x - 2 and try to factor the quotient

  30. welshfella
    • one year ago
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    no i dont think we can say that as the last zero is 6 try finding f(7) and f(8) and see if they are increasing or decreasing

  31. welshfella
    • one year ago
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    f(7) = 20 f(8) = 60 so end behaivour is increasing

  32. anonymous
    • one year ago
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    so up? lol

  33. welshfella
    • one year ago
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    yes

  34. anonymous
    • one year ago
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    yay! thank you so much!

  35. welshfella
    • one year ago
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    i'll draw the graph on my calculator to confirm

  36. welshfella
    • one year ago
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    yep it looks somthing like |dw:1438439995445:dw|

  37. anonymous
    • one year ago
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    yayy

  38. welshfella
    • one year ago
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    yea its always worth doing a check on factors of the last number especially if its a composite number like 36

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