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6x^{2}+2x-2-x^{2}-4x+1
To find the opposite of x^{2}+4x-1, find the opposite of each term.
5x^{2}+2x-2-4x+1
Combine 6x^{2} and -x^{2} to get 5x^{2}.
5x^{2}-2x-2+1
Combine 2x and -4x to get -2x.
5x^{2}-2x-1
Add -2 and 1 to get -1.
6x^{2}+2x-2-x^{2}-4x+1
To find the opposite of x^{2}+4x-1, find the opposite of each term.
5x^{2}+2x-2-4x+1
Combine 6x^{2} and -x^{2} to get 5x^{2}.
5x^{2}-2x-2+1
Combine 2x and -4x to get -2x.
5x^{2}-2x-1
Add -2 and 1 to get -1.