\(a,=\left(x^3-2x^2+2x^2-4x+x-2\right):\left(x-2\right)\\ =\left(x-2\right)\left(x^2+2x+1\right):\left(x-2\right)\\ =x^2+2x+1\\ b,=\left(x^3+3x^2-x+3x^2+9x-3\right):\left(x^2+3x-1\right)\\ =\left[x\left(x^2+3x-1\right)+3\left(x^2+3x-1\right)\right]:\left(x^2+3x-1\right)\\ =x+3\\ c,=\left(2x^4-5x^3+2x^2-2x^3+5x^2-2x+2x^2-5x+2\right):\left(2x^2-5x+2\right)\\ =\left(2x^2-5x+2\right)\left(x^2-x+1\right):\left(2x^2-5x+2\right)\\ =x^2-x+1\)
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