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Math Help - polynomial

  1. #1
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    polynomial

    hi, i'm stuck on a particular part of a question:

    the polynomial x^3 + ax^2 + bx + c leaves the remainders 2, 2 and 6 when divided by (x + 1), x and (x - 1) respectively. find the values of the constants a, b and c.

    i understand what to do with (x + 1) and (x - 1) you make it P(-1) and P(+1) and work from there. but what do you do when its just x on its own as is the case here?

    thanks for any help, mark
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  2. #2
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    Quote Originally Posted by mark View Post
    hi, i'm stuck on a particular part of a question:

    the polynomial x^3 + ax^2 + bx + c leaves the remainders 2, 2 and 6 when divided by (x + 1), x and (x - 1) respectively. find the values of the constants a, b and c.

    i understand what to do with (x + 1) and (x - 1) you make it P(-1) and P(+1) and work from there. but what do you do when its just x on its own as is the case here?

    thanks for any help, mark
    The remainder when p(x) is divided by x is p(0). Think of x as (x - 0).
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