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    The profit function for a product is given by π(x) = −x3 + 98x2− 700x − 1800, where x is the number of units produced and sold. If break-even occurs when 10 units are produced and sold:
    i. Find the quadratic factor of π(x).
    ii. Find a number of units other than 10 that gives break-even for the product.
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    Collect like terms and sub x in no?
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    (Original post by Y11_Maths)
    Collect like terms and sub x in no?
    What i did so far was to divide the equation by 10

    Which gave me -1 88 180 and the remainder 0

    From there i factorized further

    (-x2 + 88x + 180)(x-10)
    -(x-90)(x+2)(x-10)
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    (Original post by Tay')
    What i did so far was to divide the equation by 10

    Which gave me -1 88 180 and the remainder 0

    From there i factorized further

    (-x2 + 88x + 180)(x-10)
    -(x-90)(x+2)(x-10)

    Not sure if i'm on the right path.
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    Would be easier if you could post a pic of the question
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    (Original post by Tay')
    What i did so far was to divide the equation by 10

    Which gave me -1 88 180 and the remainder 0

    From there i factorized further

    (-x2 + 88x + 180)(x-10)
    -(x-90)(x+2)(x-10)
    This is correct. The quadratic -x^2+88x+180 is what part (i) is asking for. Then from factorising this quadratic, you can read off the answer to part (ii)
 
 
 
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