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2x^{2}+3x+8-x^{2}-5x+1
To find the opposite of x^{2}+5x-1, find the opposite of each term.
x^{2}+3x+8-5x+1
Combine 2x^{2} and -x^{2} to get x^{2}.
x^{2}-2x+8+1
Combine 3x and -5x to get -2x.
x^{2}-2x+9
Add 8 and 1 to get 9.
2x^{2}+3x+8-x^{2}-5x+1
To find the opposite of x^{2}+5x-1, find the opposite of each term.
x^{2}+3x+8-5x+1
Combine 2x^{2} and -x^{2} to get x^{2}.
x^{2}-2x+8+1
Combine 3x and -5x to get -2x.
x^{2}-2x+9
Add 8 and 1 to get 9.