💯 Finding the Numerically Greatest Coefficients of Binomial Expansions. Watch this video!

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The numerically greatest coefficients of binomial expansions are the largest terms in a polynomial expansion obtained using the binomial theorem. The binomial theorem states that for any real numbers a and b and any non-negative integer n, the expression (a + b)^n can be expanded as a sum of terms of the form (n choose k)a^(n-k)b^k, where (n choose k) is the binomial coefficient and represents the number of ways to choose k items from a set of n items. The largest terms in this expansion are those with the largest values of k, and these terms have the numerically greatest coefficients.
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