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26-10-2017
Mathematics

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Given the polynomial 21x 4 + 3y - 6x 2 + 34

What polynomial must be subtracted from it to obtain 29x 2 - 7 ?
Please help

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Аноним Аноним

26-10-2017

The given polynomial is 21x⁴ + 3y - 6x² + 34

We want to subtract a polynomial, f(x) so that
21x⁴ + 3y - 6x² + 34 - f(x) = 29x² - 7

Therefore
-f(x) = 29x² - 7 - (21x⁴ + 3y - 6x² + 34)
= -21x⁴ + 35x² - 3y - 41

Answer: 21x⁴ - 35x² + 3y + 41

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