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Learning Goal
‹3 of 3 in this cluster
Know the Fundamental Theorem of Algebra
Start lessonBegins with Fundamental theorem of algebra · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
HSN.CN.C.9
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What you'll learn
- State the Fundamental Theorem of Algebra: every degree-n polynomial has exactly n roots in the complex numbers (counting multiplicity).
- Demonstrate the theorem for quadratic polynomials by exhaustive case analysis using the discriminant.
- Explain why the theorem implies every polynomial over the complex numbers factors completely into n linear factors.
- Explain why real-coefficient polynomials of odd degree must have at least one real root.
Slides
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1
Fundamental theorem of algebra
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