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The denominator simplifies using the difference of squares: - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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-\frac{108}{6} + d = 3 \implies -18 + d = 3 \implies d = 21
Thus, the polynomial is:
f(x) = -\frac{7}{6}x^3 + \frac{21}{2}x^2 - \frac{82}{3}x + 21
\boxed{-\frac{7}{6}x^3 + \frac{21}{2}x^2 - \frac{82}{3}x + 21}
Let \( a \) and \( b \) be complex numbers such that \( a + b = 4 + 2i...
We start with the identity for the square of a sum:
Rearranging gives:
a^2 + b^2 = (a + b)^2 - 2ab
Substitute the given values \( a + b = 4 + 2i \) and \( ab = 5 + 3i \)...
a^2 + b^2 = (4 + 2i)^2 - 2(5 + 3i)

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