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
Work through problems with immediate feedback
A

Fluency Practice

1.

Classify the discriminant case for x24x+5=0x^2 - 4x + 5 = 0 and identify the roots.

Discriminant $= $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   (enter an integer). The roots are x=2±x = 2 \pm   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ii.

discriminant value:
imaginary coefficient: