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Math Help - Division of polynomials

  1. #1
    Junior Member Cait's Avatar
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    Question Division of polynomials

    Alrighty...

    This is for my college beginning algebra class..

    and i am incredibly mathmatically challenged. I dont even know my times tables, it's that bad.

    But anyway.

    Is there any way other than long division to divide polynomials?

    Long division does not do well with my head and i dont understand it at all.

    If not, is there a very good website or something (other than purplemath)

    that shows everything step by step. (not skipping any)

    the specific problem im havin is..

    x^2 + 4x + 3
    ------------
    x + 3

    Math is so hard =(

    Thanks

    ~Cait
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Cait View Post
    Alrighty...

    This is for my college beginning algebra class..

    and i am incredibly mathmatically challenged. I dont even know my times tables, it's that bad.

    But anyway.

    Is there any way other than long division to divide polynomials?

    Long division does not do well with my head and i dont understand it at all.

    If not, is there a very good website or something (other than purplemath)

    that shows everything step by step. (not skipping any)

    the specific problem im havin is..

    x^2 + 4x + 3
    ------------
    x + 3

    Math is so hard =(

    Thanks

    ~Cait
    there is another method called synthetic division, you can look it up, i'll try to find a site for you
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  3. #3
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    Quote Originally Posted by Cait View Post
    and i am incredibly mathmatically challenged. I dont even know my times tables, it's that bad.
    Here is a times table.
    Attached Thumbnails Attached Thumbnails Division of polynomials-picture15.gif  
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    Here is a times table.
    lol
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  6. #6
    Junior Member Cait's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    Here is a times table.

    +1 post count?

    Believe me, I have many times tables. I have that that goes out to like 74 i think...

    but anyway,

    Jhevon - Thanks for showing me Synthetic Divsion. My math book doesnt show how to do this method. I'll have to try it and see if it works better for me

    And i also meant i didn't want purplemath's long divison :3 I checked out their synthetic.. and it seems good, so ill print this one out too.


    ~Cait
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  7. #7
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Cait View Post
    x^2 + 4x + 3
    ------------
    x + 3
    we want to divide by x + 3, so we put -3 at the topmost left

    -3

    then in the same line we put the coefficients of the polynomial we want to divide

    -3...|..1..|..4..|..3

    1 is the coefficient of x^2, 4 is the coefficient of x and 3 is the constant (the coefficient of x^0)

    now we start with 0 under the 1

    -3...|..1..|..4..|..3
    ......|..0
    ......------------------

    now we add the 1 and 0, we get:


    -3...|..1..|..4..|..3
    ......|..0
    ......------------------
    ..........1

    then we multiply the 1 and -3 and get -3 and we place that under the 4:


    -3...|..1..|..4..|..3
    ......|..0..|..-3
    ......------------------
    ..........1

    and then we do it over and over until we get to the end. so i add 4 and -3 to get 1, then multiply 1 by -3 to get -3, and place that under the 3, then i add -3 to 3 to get 0.

    -3...|..1..|..4..|..3
    ......|..0..|..-3.|.-3
    ......------------------
    ..........1..|..1..|..0

    now the resulting line is the coeffcients of x counting down, starting with one less that the power of the original polynomial.

    so 1 is the coefficient of x, 1 is the coefficient of x^0 (or a constant) and the last number in this line is the remainder, which is zero

    so the answer is: x^2 + 4x + 3 / x + 3 = x + 1 and remainder 0


    Math is so hard =(
    it gets easier with practice and a good attitude, do a lot of problems and smile and be happy about it
    Last edited by Jhevon; March 25th 2007 at 03:16 PM. Reason: clarified something
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  8. #8
    is up to his old tricks again! Jhevon's Avatar
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    if you don't get something i did, tell me
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  9. #9
    Junior Member Cait's Avatar
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    Arrow

    it gets easier with practice and a good attitude, do a lot of problems and smile and be happy about it
    Meh, you're telling this to an 18 year old who doesnt know 4x3 without doin it on her fingers!!!!!!

    but anyway.. synthetic divsion worked fine for problems like that.. but i couldnt get it to work with an extra coefficient thrown in there..

    (example: 8x^2+10x+1 / 2x+1 )

    (However... on these kind of problems i asked my dad and now i get it (long division)... for the most part.. hopefully ill still get it for my exam tomarrow......)


    But anyway.. so now im out of this section on to another section.. and another post about... factoring binomials!... woo
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