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Math Help - Homework help with Polynomial and Rational Function

  1. #1
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    Homework help with Polynomial and Rational Function

    (1) For the function
    h(x) = x3 x2 17x -15,


    use long division to determine which of the following are factors of h(x)

    a) x + 5
    b) x + 1
    c) x + 3

    (2) Determine the oblique asymptote of the graph of the function.

    g(x) = x2 + 4x 1 / x + 3


    Please show details
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Kblack View Post
    (2) Determine the oblique asymptote of the graph of the function.

    g(x) = x2 + 4x 1 / x + 3
    Let's see if I get it right this time, seeing as I screwed this up a couple of days ago.

    g(x) = \frac{x^2 + 4x - 1}{x + 3}

    Do the division:
    g(x) = x + 1 - \frac{4}{x + 3}

    So when x goes to infinity, the last term goes to 0. Thus the asymptote is y = x + 1.

    -Dan
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Kblack View Post
    (1) For the function
    h(x) = x3 x2 17x -15,


    use long division to determine which of the following are factors of h(x)

    a) x + 5
    b) x + 1
    c) x + 3
    You will find this site to be helpful.

    -Dan
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by topsquark View Post
    You will find this site to be helpful.

    -Dan
    is there LaTex code for long division?
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  5. #5
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Jhevon View Post
    is there LaTex code for long division?
    I only know how to do it using the "code" box, and this is so fussy about putting the characters in place, I gave up on using it long ago.

    -Dan
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  6. #6
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    Quote Originally Posted by Jhevon View Post
    is there LaTex code for long division?
    Yes, but it's a completely mess.

    Here's a simple example:

    \begin{array}{ccccccc}\ \ 3x^2&+\ 2x&-\ 8&\div&\left| \!{\underline {\,<br />
{x+2} \,}} \right.&=&3x-4\\<br />
-3x^2&-\ 6x&\\ \cline{0-1}<br />
&-\ 4x&-\ 8&\\<br />
&\ \ \ 4x&+\ 8&\\ \cline{2-3}<br />
\end{array}

    At least I'd perform this, with some of make-up.
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  7. #7
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Krizalid View Post
    Yes, but it's a completely mess.

    Here's a simple example:

    \begin{array}{ccccccc}\ \ 3x^2&+\ 2x&-\ 8&\div&\left| \!{\underline {\,<br />
{x+2} \,}} \right.&=&3x-4\\<br />
-3x^2&-\ 6x&\\ \cline{0-1}<br />
&-\ 4x&-\ 8&\\<br />
&\ \ \ 4x&+\ 8&\\ \cline{2-3}<br />
\end{array}

    At least I'd perform this, with some of make-up.
    there's nothing for the division symbol? the huge sideways 7 thing?
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  8. #8
    Math Engineering Student
    Krizalid's Avatar
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    Sorry, I beg your pardon?
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  9. #9
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Krizalid View Post
    Sorry, I beg your pardon?
    the symbol that looks like )-----------


    anyway, this is going too much off topic, we should probably start something in the LaTex forum about this
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  10. #10
    Math Engineering Student
    Krizalid's Avatar
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    Sorry, but I don't get it yet

    --

    Well, about the off-topic, it's work for Mods.

    But you started the off-topic!

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  11. #11
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Krizalid View Post
    Sorry, but I don't get it yet

    --

    Well, about the off-topic, it's work for Mods.

    But you started the off-topic!

    like this sign i use here to represent \frac 12:

    Code:
      ___
    2 ) 1
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  12. #12
    Math Engineering Student
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    \overline{x+2}\,?

    Would it be that?

    Better yet, send me a PM 'cause we're wasting lots of posts here.
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