Concept (1)

In Algebra II, the binomial theorem describes the explanation of powers of a binomial. When expanding a binomial, the coefficients in the resulting expression are known as binomial coefficients and are the same as the numbers in Pascal's triangle. By using the binomial theorem and determining the resulting coefficients, we can easily raise a polynomial to a certain power.

Sample Problems (8)

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Solve:

9C3 =
Problem 1
How to define chose or combinations.

Expand:

(2x − 3)⁴
Problem 2
How to define the binomial theorem.

Find the 4th term of

(x² − 2y)10
Problem 3
How to use the binomial theorem to expand a binomial.
Problem 4
Using Pascal's Triangle and the Binomial Theorem to expand a binomial with coefficients one.
Problem 5
Finding the nth term in binomial expansion or expanding a binomial using Pascal's Triangle.
Problem 6
Using Pascal's Triangle or the Binomial Theorem to expand a binomial with coefficients that are not one.
Problem 7
Using Pascal's Triangle and the Binomial Theorem to expand a binomial when each term in the binomial has an exponent already.
Problem 8
Using Pascal's Triangle and the Binomial Theorem to expand a binomial difference.