The binomial theorem allows you to express an expression of the form (y + x)^n as a power series. It is frequently put in the form of (1 + x)^n and the power series used as an approximation when x < < 1. When this is true you can make the approximation (1 + x)^n ~ 1 + nx , (the first two terms in the power series).This is very useful in analytical analysis of some problems and it is still used for that purpose. Before the rise of calculaters I used it frequently to estimate square roots and cube roots. For example, what is the square root of 84? Write sqrt(84) = sqrt(81 + 3) = 9 x sqrt(1 + 3/81) and this is approximately 9 (1 + (1/2)(3/81)) = 9 + 1/6 = 9.17 . You will see this is actually correct as rounded off to two decimals. Nowdays I just use the calculator so some of the usefullness of the binomial theorem has given way to technology.
You don't, unless you work in engineering. The Wikipedia article on "binomial theorem" has a section on "Applications".
Binomial Theorem consists of formulas to determine variables. In pharmacy it can be used to calculate risks and costs of certain medications.
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
A land surveyor would use this theorem.
yes Isaac Newton created the binomial theorem
Binomial expansions and the binomial theorem,\.
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
What is the symbol for a Probability of success in a binomial trial?
9! ~
AnswerThe binomial theorem has been known for thousands of years. It may have first been discovered in India around 500 BC.
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Yes, and the justification comes from the Central Limit Theorem.