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# Pascal's Triangle

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Pascal's Triangle and the Coefficients in the Expansion of Binomials

### Vocabulary Language: English

Binomial Expansion

Binomial Expansion

A binomial expansion is the process of raising a binomial such as $(x + 2)$ to a power. The process can be time consuming when completed manually, particularly with higher exponents.
Coefficient

Coefficient

A coefficient is the number in front of a variable.
Pascal's Triangle

Pascal's Triangle

Pascal's triangle is a triangular array of numbers constructed with the coefficients of binomials as they are expanded. The ends of each row of Pascal's triangle are ones, and every other number is the sum of the two nearest numbers in the row above.
Polynomial

Polynomial

A polynomial is an expression with at least one algebraic term, but which does not indicate division by a variable or contain variables with fractional exponents.