Exercises: Know the Fundamental Theorem of Algebra

For quadratic problems, show the discriminant. For root-counting, include multiplicity.

Grade 9·20 problems·~40 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-c-9

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Warm-Up: Review What You Know

The Fundamental Theorem of Algebra states that every non-constant polynomial of degree $n$ has exactly how many roots in the complex numbers?

At least $n$ roots (could be more)

Exactly $n$ distinct roots, all different

Exactly $n$ roots, counting multiplicity

At most $n$ roots