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For questions that explicitly reference the binomial coefficients, Pascal's Triangle, and Binomial identities.

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The zeros of alternating sign, binomial coefficient polynomials

I have a question regarding the zeros of the following polynomial, based on partial rows of pascal's triangle, $$f(x)=\sum_{k=a}^n\binom{n}{k}(-1)^{k}x^k,$$ where $a,n\in \mathbb{Z}^+,n>a.$ Specifi …
Austin Bren's user avatar