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Q: What is a binomial coefficient?

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Is the binomial expansion.

Binomial Theorum

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The binomial usually has an x2 term and an x term, so we complete the square by adding a constant term. If the coefficient of x2 is not 1, we divide the binomial by that coefficient first (we can multiply the trinomial by it later). Then we divide the coefficient of x by 2 and square that. That is the constant that we need to add to get the perfect square trinomial. Then just multiply that trinomial by the original coefficient of x2.

9! ~

Write a non-recursive first, then transform the iteration into recursion.

Not true. The expansion will have one more term.

The x should be to the third power to be a cubic. The way this is written the 3 is a coefficient.

The coefficient of x^r in the binomial expansion of (ax + b)^n isnCr * a^r * b^(n-r)where nCr = n!/[r!*(n-r)!]

The answer is r.Actually 'r' is the usual symbol for the correlation coefficient statistic calculated for a sampleof paired values. The correlation coefficient for a population of pairs of random variables distributed according to a binomial normal distribution is usually denoted by the Greek letter 'rho'.

Binomial. Binomial. Binomial. Binomial.

126. In mathematical notation it could be written as 9C4 or 9C5. It is known as the binomial coefficient.

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