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anonymous

  • one year ago

Please help!

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  1. anonymous
    • one year ago
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    @jim_thompson5910

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  2. anonymous
    • one year ago
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    I'm finally almost done! I'm about ready to pass out...

  3. jim_thompson5910
    • one year ago
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    I think you meant to write \[\Large (x-3)^5\] ??

  4. anonymous
    • one year ago
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    I didn't write it, that's the problem, but ya that's what it is

  5. jim_thompson5910
    • one year ago
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    ah I see

  6. jim_thompson5910
    • one year ago
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    |dw:1434074979018:dw|

  7. jim_thompson5910
    • one year ago
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    |dw:1434074990114:dw|

  8. jim_thompson5910
    • one year ago
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    |dw:1434075006325:dw|

  9. anonymous
    • one year ago
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    ok

  10. jim_thompson5910
    • one year ago
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    what I'm going to do is write out 6 rows of (x) and (-3) put together, but with a bit of space between them I'm doing 6 because the degree is 5, so there are 5+1 = 6 terms total |dw:1434075073618:dw|

  11. anonymous
    • one year ago
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    oh ok

  12. jim_thompson5910
    • one year ago
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    the exponent for the x in row 1 will be 5, we start with the degree |dw:1434075149089:dw|

  13. jim_thompson5910
    • one year ago
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    the exponent over -3 will be 0 we want the exponents for x and -3 to always add to 5 |dw:1434075177797:dw|

  14. jim_thompson5910
    • one year ago
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    the x exponents will count down to 0 the -3 exponents will count up to 5 |dw:1434075199450:dw|

  15. jim_thompson5910
    • one year ago
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    notice how each pair of exponents add back up to 5 eg: 3+2 = 5 |dw:1434075236860:dw|

  16. anonymous
    • one year ago
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    ya ok

  17. jim_thompson5910
    • one year ago
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    the last thing needed are the binomial coefficients

  18. jim_thompson5910
    • one year ago
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    we get those from pascals triangle or from the combination formula n C r

  19. anonymous
    • one year ago
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    ok

  20. jim_thompson5910
    • one year ago
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    http://mathforum.org/workshops/usi/pascal/images/pascal.hex2.gif what are the numbers in the row that has "1, 5, ..."

  21. anonymous
    • one year ago
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    1, 5, 10, 10, 5, 1

  22. jim_thompson5910
    • one year ago
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    arrange those numbers vertically like so |dw:1434075368092:dw|

  23. jim_thompson5910
    • one year ago
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    the next step is to simplify each row in the drawing to get the 6 terms then you add up the 6 terms to get the overall polynomial

  24. anonymous
    • one year ago
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    ok

  25. anonymous
    • one year ago
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  26. jim_thompson5910
    • one year ago
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    I'll be right back

  27. anonymous
    • one year ago
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    ok

  28. anonymous
    • one year ago
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    I have to finish this really soon... we're so close to being done!

  29. anonymous
    • one year ago
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    I have to be done, its my last problem I'll get a little credit I'm turning it in how it is. thank you SO MUCH for all your help @jim_thompson5910 !

  30. jim_thompson5910
    • one year ago
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    I'm back. Sorry about that but I'm glad it's making sense now

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