Zeros of Polynomials - Worksheet 5 - 11th Grade
MediumFind real and complex zeros of polynomial functions (Medium)
18 problems · 25-30 minutes · Skills: polynomials, zeros, algebra
About This Worksheet
This medium-level worksheet contains 18 problems designed for 11th Grade students practicing zeros of polynomial functions. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Zeros of polynomials are the solutions to polynomial equations and the x-intercepts of polynomial graphs. Finding all zeros — including complex ones — is a central task in algebra and is prerequisite knowledge for understanding polynomial graphs, rational functions, and the connection between algebra and geometry through the complex plane.
- Apply the Fundamental Theorem of Algebra to state how many zeros a polynomial of degree n has
- Find all real and complex zeros of a polynomial using factoring, the quadratic formula, and synthetic division
- Write a polynomial given its zeros, including complex conjugate pairs
- Determine the multiplicity of each zero from the factored form
- Verify zeros by substituting back into the original polynomial
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this zeros of polynomials - worksheet 5 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this polynomial functions worksheet cover?
This worksheet focuses on polynomials, zeros, algebra. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 18 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.