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Math Help - Find a polynomial that:

  1. #1
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    Find a polynomial that:

    how can I find a quadratic polynomial that is divisible by (x-1) ,dividing it by (x +1) the remainder is 10 and dividing it by (x-2) the remainder is 5. Thanks. Tomorrow I have an exam and can ask a question like this.
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  2. #2
    Master Of Puppets
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    hi there, consider the polynomial f(x) = ax^2+bx+c

    From the information supplied f(1)=0, f(-1)=10 and f(2)=5 input this.

    You now have

    0 = a(1)^2+b(1)+c

    10 = a(-1)^2+b(-1)+c

    5 = a(2)^2+b(2)+c

    simplifying gives

    0 = a+b+c

    10 = a-b+c

    5 = 4a+2b+c

    can you solve this system?
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