A GoodProblem for JEE

Algebra Level 4

If the value of \(2 \left [ { 10 \choose 1} + { 10 \choose 3 } \right ] + { 10 \choose 5} \) is in the form of \( \frac {10! \times 2^a}{b!} \) for positive integers \(a,b\).

Expression the value of \(x^3 - 5x^2 + 33x - 10 \) in terms of \(a\) and \(b\) when \(x = 2+5i\)

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