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Quiz (Test MathJax)

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We consider polynomials whose degree and coefficients satisfy a natural number constraint involving their sum. By fixing the degree, the problem reduces to counting compositions of an integer into positive parts, which can be solved using the stars-and-bars method. The number of solutions for each fixed degree corresponds to a binomial coefficient, and summing over all possible degrees yields a power of two. Consequently, the total number of admissible polynomials is given by an exponential expression.

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Teaching experience 1

Undergraduate course, University 1, Department, 2014

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Teaching experience 2

Workshop, University 1, Department, 2015

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