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Math Help - Factoring polynomial

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    Factoring polynomial

    The volume of a rectangular box with a square base is 175x^2+210x+63. If the height is 7 units, what is (show all work) a)the dimensions of the base b)the perimeter of the base
    Thank you!
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by johett View Post
    The volume of a rectangular box with a square base is 175x^2+210x+63. If the height is 7 units, what is (show all work) a)the dimensions of the base b)the perimeter of the base
    Thank you!
    what does x represent here?
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    it doesn't say...that's all that has been given from the question
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    Since the base is square, then we can set 7y^{2}=175x^{2}+210x+63 and solve for y. Where y is the width(and length) of the base.

    \frac{175x^{2}+210x+63}{7}=25x^{2}+30x+9=(5x+3)^{2  }

    y=\sqrt{(5x+3)^{2}}=|5x+3|
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