K12worX
Back to Know the Fundamental Theorem of Algebra — Problem 4 · 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
Work through problems with immediate feedback
A

Fluency Practice

1.

The polynomial p(x)=(x−1)(x+3)(x2+4)p(x) = (x - 1)(x + 3)(x^2 + 4) has degree 44.

How many total roots does p(x)p(x) have over the complex numbers, counting multiplicity?