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anonymous

  • one year ago

WILL FAN AND MEDAL!! I NEED HELP WITH DIVIDING POLYNOMIALS.

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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  3. anonymous
    • one year ago
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    HELP PLEASE AND I NEED EXPLANATIONS

  4. jim_thompson5910
    • one year ago
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    Rule: \[\LARGE \frac{x^a}{x^b} = x^{a-b}\] so when we divide two exponential expressions with the same base, you subtract the exponents

  5. jim_thompson5910
    • one year ago
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    example \[\LARGE \frac{x^9}{x^4} = x^{9-4}=x^5\]

  6. anonymous
    • one year ago
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    I GOT 1 AND 2. what about the rest?

  7. jim_thompson5910
    • one year ago
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    the rule also allows the base to be a number (instead of a letter) example: \[\LARGE \frac{7^8}{7^3} = 7^{8-3}=7^5 = 16,807\] notice how I made x = 7 be the base

  8. jim_thompson5910
    • one year ago
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    Another rule to memorize or write down: \[\Large x^0 = 1\] where x is any number but zero

  9. anonymous
    • one year ago
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    alright so that covers number 4. what about #3 @jim_thompson5910

  10. jim_thompson5910
    • one year ago
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    how far did you get with #3?

  11. jim_thompson5910
    • one year ago
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    you'll use the rule I've mentioned above

  12. anonymous
    • one year ago
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    i wasnt sure how to do it

  13. anonymous
    • one year ago
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    which

  14. jim_thompson5910
    • one year ago
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    tbh I can barely see it since it's so small

  15. anonymous
    • one year ago
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  16. anonymous
    • one year ago
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    is it -16?

  17. jim_thompson5910
    • one year ago
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    what do you get when you subtract the exponents?

  18. anonymous
    • one year ago
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    4^-2

  19. anonymous
    • one year ago
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    then i got -16

  20. jim_thompson5910
    • one year ago
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    4^(-2) is not equal to -16

  21. jim_thompson5910
    • one year ago
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    another rule \[\LARGE x^{-k} = \frac{1}{x^k}\]

  22. anonymous
    • one year ago
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    oohh

  23. anonymous
    • one year ago
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    i got everything else except 7 and 8

  24. jim_thompson5910
    • one year ago
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    so using that rule gives us... \[\LARGE 4^{-2} = \frac{1}{4^2} = \frac{1}{16}\]

  25. jim_thompson5910
    • one year ago
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    post each of those individually

  26. anonymous
    • one year ago
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  27. jim_thompson5910
    • one year ago
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    for #7, you will multiply the outer term (4a) by each of the inner terms. Then you add up those products.

  28. jim_thompson5910
    • one year ago
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    #8 you can use the FOIL rule, but I prefer this visual table method |dw:1432857540600:dw|

  29. anonymous
    • one year ago
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    so its c?

  30. jim_thompson5910
    • one year ago
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    you would fill out the table by multiplying the headers example: 3y times 2y = 6y^2 |dw:1432857602213:dw|

  31. jim_thompson5910
    • one year ago
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    do the same for the other table cells then add up each expression in each of the cells (combine like terms if possible)

  32. anonymous
    • one year ago
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    so is it b or c?

  33. anonymous
    • one year ago
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    i think B

  34. anonymous
    • one year ago
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    for 7

  35. jim_thompson5910
    • one year ago
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    yeah B

  36. anonymous
    • one year ago
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    im a little confused on 8

  37. jim_thompson5910
    • one year ago
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    do you see how to fill out the table?

  38. anonymous
    • one year ago
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    yea

  39. anonymous
    • one year ago
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    what do i do with the information

  40. jim_thompson5910
    • one year ago
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    show me the filled out table (click the pencil on my drawing. Draw in the expressions that would complete the table)

  41. anonymous
    • one year ago
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    |dw:1432857959975:dw|

  42. anonymous
    • one year ago
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    During the American Civil War the Union and the Confederacy both had advantages. The Union had _____________________ while the Confederacy had ______________________. A. Money & population; Leadership & familiar land B. More experienced officers; More railroad & telegraph lines C. Stronger air force; Stronger navy D. The Force; The Dark Side

  43. jim_thompson5910
    • one year ago
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    very good @Kitten021815

  44. jim_thompson5910
    • one year ago
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    notice how the -4y and -9y are like terms, so they combine to -4y + (-9y) = -13y

  45. jim_thompson5910
    • one year ago
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    |dw:1432858043715:dw|

  46. anonymous
    • one year ago
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    thanks so much

  47. jim_thompson5910
    • one year ago
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    |dw:1432858070838:dw|