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Math Help - Quadratic Function Help

  1. #1
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    Quadratic Function Help

    I'm given a question...

    Suppose a ≠ 0 and b^2 ≥ 4ac. Vertify by direct calculation that:
    ax^2+bx+c =
    a (x - (-b + Sqrt[b^2 - 4 a c])/(2 a)) (x - (-b - Sqrt[b^2 - 4 a c])/(2 a))

    where and how do i start? D:
    Last edited by dondonlouie; February 1st 2011 at 11:52 PM.
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  2. #2
    MHF Contributor
    Prove It's Avatar
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    Complete the square
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  3. #3
    Junior Member woof's Avatar
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    Quote Originally Posted by dondonlouie View Post
    I'm given a question...

    Suppose a ≠ 0 and b^2 ≥ 4ac. Vertify by direct calculation that:
    ax^2+bx+c =
    a (x - (-b + Sqrt[b^2 - 4 a c])/(2 a)) (x - (-b - Sqrt[b^2 - 4 a c])/(2 a))

    where and how do i start? D:

    It looks to me like this is a computation problem. Start with the right hand side, and multiply. By multiplying out and then simlifying, you should get ax^2+bx+c . This shows how to use the two solutions from the quadratic formula to get the factored form of the quadratic.
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  4. #4
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    Two equally good and diametrically opposite suggestions! Prove It suggest how you can start from the original function and show that it is equal to the given factorization and woof shows how you can start from the given factorization and show that it is equal to the orignal function.
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