QUESTION:
What must be added to x⁴ – x² - 6 to get x³ + x + 3?
SOLUTION:
- Subtract the subtrahend from the difference to get the answer.
[tex]( {x}^{3} + x + 3) - ( {x}^{4} - {x}^{2} - 6) \\ = {x}^{3} + x - {x}^{4} + {x}^{2} + 9[/tex]
- To check, add the following.
[tex]( {x}^{3} + {x} - x^{4} + {x}^{2} + 9) + ( {x}^{4} - {x}^{2} - 6) \\ = {x}^{3} + x + 3[/tex]
ANSWER:
x³ + x - x⁴ + x² + 9.
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