Extend polynomial identities to complex numbers
Start lessonBegins with Polynomial identities complex numbers · 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.8
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What you'll learn
- Factor expressions of the form a^2 + b^2 using complex numbers: a^2 + b^2 = (a + bi)(a - bi).
- Write the factored form of any quadratic with real coefficients using its complex roots.
- Verify polynomial factorizations by expanding the complex factors.
- Recognize that every polynomial with real coefficients factors into linear factors over the complex numbers.
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Slides
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Polynomial identities complex numbers
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