Math

The expression ax^2 + bx + c is divisible exactly by (x - 1), has a remainder of 2 when it is divided by (x + 1), and has a remainder of 6 when it is divided by (x - 2). Find a, b and c?

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  1. using the remainder theorem, f(a) is the remainder when dividing by (x-a), we have

    f(1) = 0
    f(-1) = 2
    f(2) = 6

    So, now you have three equations to use:

    a+b+c = 0
    a-b+c = 2
    4a+2b+c = 6

    7/3 x^2 - x - 4/3

    check it to be sure.

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