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Zimeni · Answer 1 · 2023-06-15T01:23:31+0000

Answer:

The answer is 4x² + 2x + 11

Explanation:

4x⁴ – 2x³ + 5x² + 2x ÷ x² – x – 1

Now,

$4 {x}^(2) + 2x + 11\\ x² - x - 1 √(4 x⁴ - 2x³ + 5x² + 2x) \\ \: \: \: \: \: \: 4 {x}^(4) - 4 {x}^(3) - {4x}^(2) \\ \frac{ \: \: \: - \: \: \: \: \: \: + \: \: \: \: \: \: \: \: + \: \: }{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2x {}^(3) + 9x {}^(2) + 2x } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2 {x}^(3) - {2x}^(2) - 2x \\ \frac{ \: \: \: \: \: - \: \: \: \: \: \: + \: \: \: \: + }{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 11 {x}^(2) + 4x } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 11 {x}^(2) - 11x - 11 \\ ( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: + \: \: \: \: \: \: \: \: + )/( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 15x + 11)$

Thus, The answer is 4x² + 2x + 11

-TheUnknownScientist 72

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