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Question
What should be added to 2x3 + 6x2 – 5x + 8 to get 3x3 – 2x2 + 6x + 15?
Solution
3x3 – 2x2 + 6x + 15 – (2x3 + 6x2 – 5x + 8)
= 3x3 – 2x2 + 6x + 15 – 2x3 – 6x2 + 5x – 8
= 3x3 – 2x3 – 2x2 – 6x2 + 6x + 5x + 15 – 8
= x3 – 8x2 + 11x + 7
x3 – 8x2 + 11x + 7 must be added to get 3x3 – 2x2 + 6x + 15.
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