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A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.

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What is The expansion of a binomial that involves a coefficient found by combinations?

Binomial Theorum


What is the value of the binomial coefficient for 500 choose 100?

1000


How do you complete the square to make a binomial a perfect-square trinomial?

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.


What is the coefficient of the xySquared term in the expansion of 3x plus yCubed and Use the binomial theorem...Please?

9! ~


The expansion of a binomial that involves a coefficient found by combinations. The expansion will contain the same number of terms as the exponent of the original binomial. For each term the exponents?

Not true. The expansion will have one more term.


How do you find the coefficients of the terms in the binomial expansion?

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)!]


Is 3x-9 classified as cubic binomial?

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


What is the correlation coefficient symbol?

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'.


What is a bionomial expansion?

A binomial expansion is a mathematical expression that represents the expansion of a binomial raised to a positive integer power, typically expressed as ((a + b)^n). The expansion is given by the Binomial Theorem, which states that it can be expressed as a sum of terms in the form (\binom{n}{k} a^{n-k} b^k), where (\binom{n}{k}) is the binomial coefficient. Each term corresponds to different combinations of (a) and (b) multiplied by the coefficient, and the expansion includes all integer values of (k) from 0 to (n). This theorem is widely used in algebra, probability, and combinatorics.


How many strings of length 9 have five 1's and four 0s?

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


Is this number a monomial or binomial or trinomial 30x6-1?

Binomial. Binomial. Binomial. Binomial.


This is a polynomial with two terms?

binomial