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Math Help - Finding length of the missing side

  1. #1
    Senior Member vaironxxrd's Avatar
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    Finding length of the missing side

    Even though this is geometry it comes from my Algebra 2 class.



    I believe that 2x+3 is the With so I guess that I have to find the length?
    Area : 2x^2+5x+3

    Area= L*W

    Therefore 2x^2+5x+3= 2x+3 = Length?
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  2. #2
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    Re: Finding length of the missing side

    It should be 2x^2+5x+3= (2x+3)\times L now divide it out.
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    MHF Contributor Siron's Avatar
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    Re: Finding length of the missing side

    You know the length of the rectangle is 2x+3 and the area of the rectangle is 2x^2+5x+3 that means the breadth of the rectangle has to look like ax+b, therefore:
    (2x+3)\cdot(ax+b)=2x^2+5x+3

    Determine a and b
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    Senior Member vaironxxrd's Avatar
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    Re: Finding length of the missing side

    Quote Originally Posted by pickslides View Post
    It should be 2x^2+5x+3= (2x+3)\times L now divide it out.
    2x^2=L-3x ?
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  5. #5
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    Re: Finding length of the missing side

    pickslides said divide ...

    L = \frac{2x^2+5x+3}{2x+3}
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    Senior Member vaironxxrd's Avatar
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    Re: Finding length of the missing side

    Quote Originally Posted by skeeter View Post
    pickslides said divide ...

    L = \frac{2x^2+5x+3}{2x+3}
    L=\frac{2x^2+3x}{1} or 2x^2+3x
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  7. #7
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    Re: Finding length of the missing side

    go learn how to do long division of polynomials ...

    Polynomial Long Division
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  8. #8
    Super Member Quacky's Avatar
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    Re: Finding length of the missing side

    Quote Originally Posted by skeeter View Post
    go learn how to do long division of polynomials ...

    Polynomial Long Division
    Honestly I think Siron's method will suffice for now.
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  9. #9
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    Re: Finding length of the missing side

    Quote Originally Posted by Quacky View Post
    Honestly I think Siron's method will suffice for now.
    if you had bothered to check the link, you would have noticed that it also shows the factoring technique.
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  10. #10
    Super Member Quacky's Avatar
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    Re: Finding length of the missing side

    Quote Originally Posted by skeeter View Post
    if you had bothered to check the link, you would have noticed that it also shows the factoring technique.
    I never denied that. But the subject of the page is on polynomial long division, and I think that's asking the OP to run before they walk. With the UK system, there are about 3 years of teaching between this, which is applying the knowledge of factoring, and polynomial division.
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  11. #11
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    Re: Finding length of the missing side

    Quote Originally Posted by Quacky View Post
    Honestly I think Siron's method will suffice for now.
    Well, NO method will suffice for now; the OP does not know basics and needs classroom help, period.
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