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Mathematics > Course Model Precalculus (Advanced Course) > Arithmetic with Polynomials and Rational Expressions

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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.


Resources:


  • 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.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • 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).