Đáp án`+`Giải thích các bước giải:

a) Ta có:

`F(-1) = (-1)^3 + (-1)^2 - 2`

        `= -1 + 1 - 2`

        `= -2`

`F(2) = 2^3 + 2^2 - 2`

        `= 8 + 4 - 2`

        `= 10`

`F(1) = 1^3 + 1^2 - 2`

        `= 1 + 1 - 2`

        `= 0`

b) Ta có:

`F(x) = x^3 + x^2 - 2`

       `= x^2(x + 1) - 2 : x + 1` dư `-2 = f(1)`

`F(x) = x^3 + x^2 - 2`

       `= x^2(x - 2) + 3x^2 - 12 + 10`

       `= x^2(x - 2) + 3(x - 2)(x + 2) + 10  : x + 2` dư `10 = f(2)`

`F(x) = x^3 + x^2 - 2`

       `= x^2(x - 1) + 2x^2 - 2`

       `= x^2(x - 1) + 3(x - 1)(x + 1) : x + 2` dư `0 = f(1)`

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