Polynomial
A function made from terms with whole-number exponents, such as x², x³, or 4x.
Back to NC Math 3 Home6 Practice Sets Complete
Math 3 Strand
Polynomial Functions
This strand review helps students connect polynomial equations, graphs, and calculator-based checks so they can recognize important features faster on the NC Math 3 EOC.
Focus on zeros, multiplicity, end behavior, and turning points while using Desmos strategically to confirm patterns and support multi-step reasoning.
Confidence Check
If you can move through Sets 1 to 6 in order, explain why a graph crosses or only touches the x-axis, and use Desmos to confirm your thinking, you are building real NC Math 3 EOC readiness.
Objectives Covered
- Identify polynomial graphs by degree, leading coefficient, and end behavior.
- Connect zeros and x-intercepts to factored forms and equation structure.
- Interpret multiplicity by deciding when a graph crosses the x-axis or only touches it.
- Compare equations, tables, and graphs to match key polynomial features quickly.
- Use Desmos strategically to test roots, check turning points, and confirm graph behavior.
- Apply polynomial reasoning to EOC-style multi-step and modeling questions.
Key Vocabulary
Student-Friendly Terms to Know
These words show up often in class, in Desmos work, and on polynomial EOC questions.
Degree
The greatest exponent in the polynomial. It helps predict overall graph shape and end behavior.
Leading Coefficient
The coefficient of the highest-degree term. It helps determine whether the graph rises or falls.
Zero
An x-value that makes the polynomial equal to 0.
Factor
A multiplied part of an expression, such as (x - 3), that can reveal zeros.
Multiplicity
The number of times a factor repeats. It helps explain whether a graph crosses or bounces.
End Behavior
How the graph acts far to the left and far to the right.
Turning Point
A place where the graph changes direction from increasing to decreasing or vice versa.
Practice Questions
Choose a Polynomial Practice Set
All 6 sets are ready to use. Start with the early skill-builders, then finish with the mixed and challenge sets to build steadier EOC confidence.
Recommended Practice Order
Sets 1 to 6 for Most Students
This order moves from core skills to mixed review so students can build confidence before the final readiness check.
1
Practice Set 1
Start with foundations.
Review degree, leading coefficient, zeros, and end behavior first.
2
Practice Set 2
Connect the main ideas.
Match forms, graphs, and polynomial features in multi-step problems.
3
Practice Set 3
Push into strategic reasoning.
Explain graph behavior and justify your choices with stronger evidence.
4
Practice Set 4
Practice switching question types.
Build pacing by moving between quick checks and deeper reasoning.
5
Practice Set 5
Take on EOC challenge questions.
Work through harder factor, graph, and interpretation questions.
6
Practice Set 6
Finish with a readiness check.
Use the final mixed set to see how steady your skills feel under pressure.
Practice Set 1
DOK 1 Practice Set
Review degree, leading coefficient, end behavior, zeros, y-intercepts, and basic polynomial forms.
Practice Set 2
DOK 2 Practice Set
Build multi-step skill with matching graphs, forms, and polynomial features in more connected problems.
Practice Set 3
DOK 3 Practice Set
Use strategic reasoning to justify polynomial behavior, interpret graphs, and solve richer EOC-style tasks.
Practice Set 4
Mixed DOK Practice Set A
Blend quick checks and deeper reasoning so students practice switching between question demands.
Practice Set 5
EOC Challenge Set
Tackle upper-level polynomial questions that mirror common EOC mistakes, graph interpretation, and multi-step reasoning.
Practice Set 6
Mixed DOK Practice Set C
Finish with a mixed readiness check focused on accuracy, pacing, and final EOC-style review.