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Math Help - Need to find the values of a and b

  1. #1
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    Need to find the values of a and b

    (z-2)(z^2+az+b)=z^3-4z^2+6z-4 a,b are an element of Z.

    Honestly have no idea how to solve this all help welcome. Thanks
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  2. #2
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    Re: Need to find the values of a and b

    Quote Originally Posted by khorne55 View Post
    (z-2)(z^2+az+b)=z^3-4z^2+6z-4 a,b are an element of Z.

    Honestly have no idea how to solve this all help welcome. Thanks
    1. Expand the LHS:

    (z-2)(z^2+az+b) = z^3 + z^2(a - 2) + z(b - 2a) - 2b

    2. Now compare the coefficients of the RHS:

    \begin{array}{lcr}a-2&=&-4 \\ b-2a&=&6 \\ -2b&=&-4 \end{array}

    3. Solve the system of equations for a and b.
    Last edited by earboth; January 5th 2013 at 07:39 AM.
    Thanks from MarkFL and khorne55
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  3. #3
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    Re: Need to find the values of a and b

    Thanks a lot ! a= -2 and b =2 That clears out the whole situation. I am really grateful for your help!
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