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Math Help - Quadratic Expression?

  1. #1
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    Quadratic Expression?

    Can someone help me find the constants a, b and c in the following

    n^2≡an(n+1)+b(n+1)+c


    Also what topic are these kind of questions under?
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  2. #2
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    Expand an(n+1)+b(n+1)+c to get an^2+(a+b)n+(b+c), now equate this to the polynomial on the LHS. First solve a, then b, then c.
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  3. #3
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    so u get that next
    n^2≡
    and then do you make it equate to zero so it becomes a quadratic ?

    how would you go by solving for b and c ?
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  4. #4
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    Now you see a should equal 1 to get the right coefficients for n^2. Then you should find the other coefficients so the rest of the polynomial equals 0.
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