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burhan101 Group Title

When polynomial mx³-3x²+nx+2 is divided by x+3, the remainder is -1. When it is divided by x-2, the remainder is -4. Determine the values of 'm' and 'n'.

  • 2 years ago
  • 2 years ago

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  1. helder_edwin Group Title
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    use synthetic division

    • 2 years ago
  2. lgbasallote Group Title
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    are you familiar with the remainder theorem?

    • 2 years ago
  3. helder_edwin Group Title
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    that's better. sorry

    • 2 years ago
  4. burhan101 Group Title
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    |dw:1347327495204:dw|

    • 2 years ago
  5. burhan101 Group Title
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    and yes i am familiar with the remainder theorem, am i doing this right so far ?

    • 2 years ago
  6. lgbasallote Group Title
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    yup

    • 2 years ago
  7. lgbasallote Group Title
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    now...just add 1 to both sides...to get something fun

    • 2 years ago
  8. burhan101 Group Title
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    |dw:1347327616779:dw|

    • 2 years ago
  9. lgbasallote Group Title
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    right to..add 4 to both sides there

    • 2 years ago
  10. lgbasallote Group Title
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    too*

    • 2 years ago
  11. burhan101 Group Title
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    |dw:1347327802473:dw|

    • 2 years ago
  12. burhan101 Group Title
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    now i dont know what to do next

    • 2 years ago
  13. lgbasallote Group Title
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    yes. now simplify those

    • 2 years ago
  14. lgbasallote Group Title
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    -27m -3n - 24 = 0 everything is divisible by 3

    • 2 years ago
  15. lgbasallote Group Title
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    8m + 2n - 6 = 0 everything is divisible by 2

    • 2 years ago
  16. burhan101 Group Title
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    |dw:1347327965579:dw|

    • 2 years ago
  17. burhan101 Group Title
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    like that ?

    • 2 years ago
  18. burhan101 Group Title
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    or with the coeff

    • 2 years ago
  19. lgbasallote Group Title
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    right

    • 2 years ago
  20. lgbasallote Group Title
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    -9m - n - 8 = 0 4m + n - 3 = 0 now you can do system of linear eqn

    • 2 years ago
  21. burhan101 Group Title
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    i can let is equal any number right ?

    • 2 years ago
  22. lgbasallote Group Title
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    yes. you can also do elimination

    • 2 years ago
  23. burhan101 Group Title
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    let m=1 -9(1)-n-8=0 -9-n-8=0 -n=9+8 n=17 subst. n=17 in 2nd equation 4m+17-3=0 4m+14=0 m= -7/2

    • 2 years ago
  24. lgbasallote Group Title
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    that's an unorthodox method...

    • 2 years ago
  25. lgbasallote Group Title
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    where did you learn that?

    • 2 years ago
  26. burhan101 Group Title
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    i dont know, i think im confusing it with something else

    • 2 years ago
  27. lgbasallote Group Title
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    it's the plotting of points method...it doesn't work here lol

    • 2 years ago
  28. burhan101 Group Title
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    oh woops !

    • 2 years ago
  29. lgbasallote Group Title
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    anyway... -9m - n - 8 = 0 4m + n - 3 = 0 try adding the equations...what do you get?

    • 2 years ago
  30. burhan101 Group Title
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    m= -11/5

    • 2 years ago
  31. burhan101 Group Title
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    and now subst

    • 2 years ago
  32. lgbasallote Group Title
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    right

    • 2 years ago
  33. burhan101 Group Title
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    n=29/5

    • 2 years ago
  34. lgbasallote Group Title
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    right. so there you go

    • 2 years ago
  35. burhan101 Group Title
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    thank you so much ! :)

    • 2 years ago
  36. lgbasallote Group Title
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    welcome

    • 2 years ago
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