Students add, subtract, multiply, and evaluate one-variable polynomial functions with numerical coefficients, classify them by degree from 0 through 5, and identify their standard-form leading coefficients. They factor polynomial expressions completely over the specified number system and use factored form and the zero-product property to solve polynomial equations, determine real zeros and x-intercepts, and recognize repeated zeros and their multiplicities. Students predict end behavior from degree and leading coefficient and sketch polynomial graphs by combining end behavior with zeros and multiplicity-based crossing or touching behavior.
On this page:
- Master skills like “Relate zeros to x-intercepts”, “Evaluate polynomial functions”, and “Multiply polynomial functions” with unlimited, free practice problems
- Download (or modify) free worksheets on Polynomial Functions you can use at home or in class with practice problems across all skills in this group including “Determine zeros from factored form”, “Add and subtract polynomial functions”, “Classify polynomial functions by degree”.
- Start working on adaptive units like “Functions - End Behaviour - Intro” or “Functions - End and Root Behaviour - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Polynomial Functions: Individual Skills
Master 10 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Add and subtract polynomial functions
- Classify polynomial functions by degree
- Determine the leading coefficient of a polynomial function
- Determine zeros from factored form
- Evaluate polynomial functions
- Factor polynomial expressions completely
- Identify repeated zeros and their graphical behaviour
- Multiply polynomial functions
- Predict end behaviour from degree and leading coefficient
- Relate zeros to x-intercepts
Practice 'Add and subtract polynomial functions'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
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Download/Modify Free Grade 11 'Polynomial Functions' Worksheet
Print this free 'Polynomial Functions' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Add and subtract polynomial functions
- Classify polynomial functions by degree
- Determine the leading coefficient of a polynomial function
- Determine zeros from factored form
- Evaluate polynomial functions
- Factor polynomial expressions completely
- Identify repeated zeros and their graphical behaviour
- Multiply polynomial functions
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Polynomial Functions) through scaffolded problems that grow in difficulty as concepts are understood.