Math9-12+
Finding Roots of Polynomials
By Timothy H.
A 1-page practice set for 9th graders to find all roots of polynomials, including imaginary roots, using synthetic division. This worksheet builds skills in algebraic manipulation and complex number operations.
Customize for your classroom
Teacher Guide & Tips
- Use as a 30-minute independent practice activity or homework assignment.
- Discussion question: How does the Fundamental Theorem of Algebra guarantee that a polynomial of degree n will have exactly n roots?
- Scaffold for struggling students: Provide a partially completed example of synthetic division with imaginary numbers.
- Extension for advanced students: Ask students to create their own polynomial with a specified number of real and imaginary roots.
Math9-12+
Finding Roots of Polynomials
By Timothy H.
A 1-page practice set for 9th graders to find all roots of polynomials, including imaginary roots, using synthetic division. This worksheet builds skills in algebraic manipulation and complex number operations.
Customize for your classroom
Teacher Guide & Tips
- Use as a 30-minute independent practice activity or homework assignment.
- Discussion question: How does the Fundamental Theorem of Algebra guarantee that a polynomial of degree n will have exactly n roots?
- Scaffold for struggling students: Provide a partially completed example of synthetic division with imaginary numbers.
- Extension for advanced students: Ask students to create their own polynomial with a specified number of real and imaginary roots.