Mathematics | Course : Model Precalculus (Advanced Course)
Domain - Arithmetic with Polynomials and Rational Expressions
Cluster - Use polynomial identities to solve problems.
[PC.A-APR.C.5] - (+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle.
- Binomial Theorem
A theorem that gives the polynomial expansion for any whole-number power of a binomial. For powers greater than or equal to zero. - Coefficient
Any of the factors of a product considered in relation to a specific factor. - Integer
All positive and negative whole numbers, including zero. - Pascal's triangle
A triangular arrangement of numbers in which each row starts and ends with 1, and each other number is the sum of the two numbers above it.
[AI.A-SSE.A.2] -
Use the structure of an expression to identify ways to rewrite it. For example, see (x + 2)2 – 9 as a difference of squares that can be factored as ((x + 2) + 3)((x + 2 ) – 3).
[MII.A-SSE.A.2] -
Use the structure of an expression to identify ways to rewrite it. For example, see (x + 2)2 – 9 as a difference of squares that can be factored as ((x + 2) + 3)((x + 2) – 3).