what must be added to x²-5x+6 to get -x²-2x +3?
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Let the polynomial to be added be p(x)
∴x
2
+5x−6+p(x)=x
3
−x
2
+3x−2
∴p(x)=x
3
−x
2
−x
2
+3x−5x−2+6
∴p(x)=x
3
−2x
2
−2x+4
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