Polynomials Outline - MathBitsNotebook (A2)

Polynomials
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indicates compatibility to NY Next Generation Math Standards (NGMS).
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NGMS topics suggested for Algebra 2 coherence to increase rigor, but not included in state assessments.

LESSONS:

* calculator link, G calculator lesson

Polynomial Information:

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Polynomial Information (definition, terms, classifications, closure)

Refresh+

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Polynomials as a System (properties: observable, of operations, mathematical)

Polynomial Factoring:

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Factoring Warm-up for Polynomials Using Old Patterns

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Factoring Higher Power Polynomials

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Factoring and Perfect Cubes (factor a³ - b³ and a³ + b³, examine binomial cubes)

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Factoring by Grouping

Polynomial Arithmetic:

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Polynomial Long Division

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Synthetic Division

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Polynomial Remainder Theorem (and Factor Theorem)

Polynomial Equations:

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Fundamental Theorem of Algebra (and Polynomials)

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Polynomial Equations

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Polynomial Identities

Polynomial Systems:

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Systems: Linear - Quadratic (found under Quadratic section)

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Systems of Equations 3x3

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Solving Systems using Determinants on Calculator

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Solving Systems using Matrices on Calculator

Polynomial Graphs:

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Polynomial Graphs (zeros, multiplicity, end behavior, graph behavior near roots)

Polynomial Extras:

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Binomial Theorem

PRACTICE:
•	Practice with Factoring by Grouping

•	Practice with Polynomial Division

•	Practice with Polynomial Equations (multiple choice)
•	Practice with More Polynomial Equations (solutions shown)
•	Practice with Polynomial Identities

•	Systems: Linear - Quadratic Practice (found under Quadratic section)
•	Practice with Systems 3x3

•	Practice Graphing Polynomial Functions

•	Practice with Binomial Theorem

•	Practice Working with Polynomials

REFRESHERS: (while these topics are mostly "review", you may also find new information here)
•	General Features of Function Graphs (intercepts, positive/negative, increase/decrease)
* •	More Features of Function Graphs (continuous, max/min, symmetry, end behavior)
•	Transformations of Functions