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(3x to the fourth - 5x squared - 6x +5) + (-4x cubed + 6x squared + 7x -1)

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Ok, so we have

(3x^4 - 5x^2 - 6x + 5) + (-4x^3 + 6x^2 + 7x - 1)

add it up, collecting like powers:

3x^4 - 4x^3 + (-5 + 6)x^2 + (-6 + 7)x + (5 + -1)
= 3x^4 - 4x^3 + x^2 + x + 4

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