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Explain the Fundamental Theorem of Algebra

Explain what the Fundamental Theorem of Algebra guarantees about roots of polynomials.

Algebra 2Common Core HSA-APR.B.3APRVerified correct ✓

Worked examples

The Fundamental Theorem of Algebra says a degree-61 polynomial has exactly 61 roots (counting multiplicity) in the complex numbers. Explain what this means in plain English. Give an example with a degree-3 polynomial and identify all its roots.
Answer:
The Fundamental Theorem of Algebra says a degree-20 polynomial has exactly 20 roots (counting multiplicity) in the complex numbers. Explain what this means in plain English. Give an example with a degree-3 polynomial and identify all its roots.
Answer:

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