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Back to Know the Fundamental Theorem of Algebra — Problem 3 · Task Set 15

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

1.

The polynomial p(x)=(x−2)2(x+5)p(x) = (x - 2)^2(x + 5) has degree 33.

According to the FTA, how many roots does p(x)p(x) have in the complex numbers, counting multiplicity?