What must be subtracted from x3−3x2+5x−1 to get 2x3+x2−4x+2 ?
−x3−4x2+9x−3
Let us assume that we have to subtract 'y' from x3−3x2+5x−1 to get 2x3+x2−4x+2
(x3−3x2+5x−1)−y=2x3+x2−4x+2
⇒y=(x3−3x2+5x−1)−(2x3+x2−4x+2)
x3−3x2+5x−1
2x3+ x2−4x+2
− − + −
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−x3 −4x2+9x−3