MA19.A2.7

Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.7
Prove polynomial identities and use them to describe numerical relationships.

Unpacked Content

Knowledge

Students know:

Distributive Property of multiplication over addition.

Skills

Students are able to:

Accurately perform algebraic manipulations on polynomial expressions.

Understanding

Students understand that:

Reasoning with abstract polynomial expressions reveals the underlying structure of the Real Number System.
Justification of generalizations is necessary before using these generalizations in applied settings.

Vocabulary

Polynomial Identity

COS Examples

Example: The polynomial identity $1 - x^n = (1 - x)(1 + x + x^2 + x^3 + … + x^{n-1} + x^n)$ can be used to find the sum of the first n terms of a geometric sequence with common ratio x by dividing both sides of the identity by $(1 - x)$.

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