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What's on the worksheet
- List the zeros with multiplicities and what the graph does at each.
- Factor a quartic completely and describe its graph.
- Factor a quintic completely, give zeros and signs on each interval, and test values.
- Factor a quartic from two given zeros and describe the graph at each zero.
- Make a table to find intervals that hold the zeros of a polynomial that does not factor.
- Write the rule of the polynomial graph through the marked points.
Teach it first
The free lesson teaches it with worked examples and practice problems.
Graphing polynomial functions: the lesson ›More Chapter 3 worksheets: Polynomial functions
- 3.1Degree, end behavior and the shape of a polynomial graph
- 3.2Cubic, quartic and higher degree functions
- 3.3Proving polynomial identities
- 3.4Polynomial long division
- 3.5Synthetic division
- 3.6The remainder and factor theorems
- 3.7Zeros and multiplicity
- 3.8Graphing polynomial functions
- 3.9The rational root theorem
- 3.10The fundamental theorem of algebra
- 3.11Building a polynomial from its zeros
- 3.12Modeling with polynomial functions
- 3.13Factoring completely and choosing a strategy