SkipCaptcha
1,279
edits
Changes
Jump to navigation
Jump to search
mLine 1:
Line 1: − +
Fixed typo
The '''binomial theorem''', also known as the binomial expansion, describes a method for expanding brackets containing two terms raised to a power as a [[polynomial]].<ref name=mathworld>[http://mathworld.wolfram.com/BinomialTheorem.html Binomial theorem] from mathworld.wolfram.com</ref> More specifically, it describes how to express a bracket of the form (x+a)<sup>n</sup> as a polynomial with terms b<sub>k</sub>x<sup>k</sup>a^<sup>n-k</sup>, for various coefficients b<sub>k</sub>. When n is [[natural number]], the binomial theorem produces a finite length [[polynomial]], but can also be extended to non-integer n. For n not being a natural number, the binomial expansion of (x+a)<sup>n</sup> is:<ref name=mathworld/>
The '''binomial theorem''', also known as the binomial expansion, describes a method for expanding brackets containing two terms raised to a power as a [[polynomial]].<ref name=mathworld>[http://mathworld.wolfram.com/BinomialTheorem.html Binomial theorem] from mathworld.wolfram.com</ref> More specifically, it describes how to express a bracket of the form (x+a)<sup>n</sup> as a polynomial with terms b<sub>k</sub>x<sup>k</sup>a<sup>n-k</sup>, for various coefficients b<sub>k</sub>. When n is [[natural number]], the binomial theorem produces a finite length [[polynomial]], but can also be extended to non-integer n. For n not being a natural number, the binomial expansion of (x+a)<sup>n</sup> is:<ref name=mathworld/>
:<math>
:<math>