# 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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