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Math Help - Factorising and applying!

  1. #1
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    Factorising and applying!

    Help would be greatly appreciated....

    The volume of a rectangular prism cereal box
    is modelled by V = 20x^2 + 500x + 3000.
    (a) Factorise this fully.
    (b) What are the dimensions of the box?
    (c) What is the volume of the box if one
    side is 15 cm?

    Cheers
    Last edited by steph_r; March 30th 2008 at 03:02 AM. Reason: written incorrectly
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  2. #2
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    Quote Originally Posted by steph_r View Post
    Help would be greatly appreciated....

    The volume of a rectangular prism cereal box
    is modelled by V = 20x^2 + 500x + 3000.
    (a) Factorise this fully. Mr F says: V = 20(x^2 + 25x + 150) = 20(x + 10)(x + 15).
    (b) What are the dimensions of the box? Mr F says: Obviously, although you don't state this, the dimensions depend on x. So solve V = 0 for x.
    (c) What is the volume of the box if one side is 15 cm? Mr F says: Answers to (a) and (b) should give you (c).

    Cheers
    ..
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