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Home » J: Newtonâs generalized binomial theorem - DNSFLEX

J: Newtonâs generalized binomial theorem - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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\frac{140}{6} + c = -4 \implies \frac{70}{3} + c = -4
c = -4 - \frac{70}{3} = -\frac{12}{3} - \frac{70}{3} = -\frac{82}{3}
Finally, substitute \( a \), \( b \), and \( c \) into the first equat...
-\frac{7}{6} + \frac{21}{2} - \frac{82}{3} + d = 3
-\frac{7}{6} + \frac{63}{6} - \frac{164}{6} + d = 3
-\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...

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