binomial theorem Synonyms

No Synonyms and anytonyms found

binomial theorem Meaning

Wordnet

binomial theorem (n)

a theorem giving the expansion of a binomial raised to a given power

binomial theorem Sentence Examples

1. The binomial theorem states the expansion of a binomial raised to a positive integer power.
2. Mathematicians often use the binomial theorem to simplify algebraic expressions.
3. In calculus, the binomial theorem plays a crucial role in Taylor series expansions.
4. Students learn to apply the binomial theorem when expanding expressions like (a + b)^n.
5. The binomial theorem allows us to find the coefficients of each term in the expansion.
6. The mathematician derived the coefficients of the terms using Pascal's triangle in the binomial theorem.
7. Engineers utilize the binomial theorem in various fields, including signal processing and circuit analysis.
8. The computer scientist implemented algorithms based on the binomial theorem for efficient computations.
9. Researchers in statistics use the binomial theorem to derive probability distributions for discrete random variables.
10. Understanding the binomial theorem is fundamental for solving problems in fields such as physics, economics, and engineering.

FAQs About the word binomial theorem

What is the meaning of the word binomial theorem

a theorem giving the expansion of a binomial raised to a given power

What are the synonyms of the word binomial theorem

No synonyms found.

What are the antonyms of the word binomial theorem

No antonyms found.

What is the usage of word binomial theorem

The binomial theorem states the expansion of a binomial raised to a positive integer power.

Mathematicians often use the binomial theorem to simplify algebraic expressions.

How to use the word binomial theorem in a sentence?

In calculus, the binomial theorem plays a crucial role in Taylor series expansions.

Students learn to apply the binomial theorem when expanding expressions like (a + b)^n.