Introduction to Polynomial Functions
Identify polynomial functions and distinguish them from other expressions.
Lesson · Practice
Open lesson →Grade 10 · Mathematics
Mathematics · Polynomial Functions
18 topics · Interactive practice · Graphing worksheets · Chapter test
18 topics · 18 lessons · 20 practice sets · 1 quiz
Unit 1 · Foundations
Degree and Leading Coefficient
Find the degree, leading term, and leading coefficient of a polynomial.
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Open lesson →Evaluating Polynomial Functions
Substitute values and calculate the output of a polynomial function.
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Open lesson →Unit 2 · Operations and Division
Adding and Subtracting Polynomials
Combine like terms and write results in standard form.
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Open lesson →Multiplying Polynomials and Special Products
Use distribution, area models, and special-product patterns.
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Open lesson →Long and Synthetic Division
Divide polynomials step by step, build the quotient, and verify the remainder.
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Open lesson →Unit 3 · Theorems, Factoring and Equations
Remainder and Factor Theorems
Evaluate remainders efficiently and test possible factors.
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Open lesson →Rational Root Theorem and Factoring
List possible rational roots and factor higher-degree polynomials.
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Open lesson →Polynomial Equations and Problems
Solve polynomial equations and translate contextual problems.
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Open lesson →Unit 4 · Zeros and Graph Behavior
Zeros, Roots and X-Intercepts
Connect factors, solutions, zeros, and intercepts.
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Open lesson →Multiplicity: Cross, Bounce and Flatten
Predict local graph behavior from repeated factors.
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Open lesson →End Behavior and Turning Points
Use degree, leading coefficient, and degree bounds to describe a graph.
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Open lesson →Unit 5 · Graphing and Transformations
Graphing from Factored Form
Build a complete graph from factors, zeros, multiplicities, and intercepts.
Lesson · Practice
Open lesson →Graphing Polynomial Functions Studio
Graph from characteristics, factored form, or standard form using the full interactive studio.
Lesson
Open lesson →Transformations of Polynomial Graphs
Translate, reflect, stretch, and compress polynomial graphs.
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Open lesson →Unit 6 · Interpretation, Modeling and Investigation
Reading and Interpreting Polynomial Graphs
Infer zeros, signs, intervals, extrema, and end behavior from a graph.
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Open lesson →Modeling Real-Life Situations
Represent volume, area, revenue, and motion situations with polynomial functions.
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Open lesson →Polynomial Investigation and Problem Solving
Plan, test, explain, and communicate a mathematical investigation.
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Open lesson →Course assessments
Assessment 1 · Units 1–3 · Assessment 2 · Units 4–6 · Chapter Test · Mock Test · Chapter Test · Real Test
Course tests are taken through your school, where your teacher assigns them and your score goes on your record.