What polynomial could you subtract from 5x^3 - 12x - x^2 + 9 - 12x^5 - 6x^4 to give a difference of 19 + 8x^3 - 18x - 19x^5 - 2x^2 - 8x^4?

Is the answer k (the polynomial) = 7x^5 + 2x^4 - 3x^3 + x^2 + 6x - 28?

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