Algebraic Expressions and Polynomials
Math Algebra • 14 topics in this chapter.
The Algebraic Expressions and Polynomials chapter in Math Algebra on STEM Calculators covers the essential skills for rewriting, simplifying, and manipulating expressions—the foundation of nearly every algebra topic. It includes interactive tools for combining like terms, applying the distributive property, expanding and factoring polynomials, and working with exponents and powers in expression form.
On this page you can simplify algebraic expressions step by step, multiply polynomials (including FOIL and general multiplication), factor common terms and special products, and evaluate expressions for given variable values. Many tools also help with polynomial identities, standard form, degree and leading coefficient, and common factoring patterns so you can learn the logic behind each move instead of memorizing rules.
The difficulty level ranges from beginner-friendly expression basics to more advanced polynomial operations used in high school algebra and early college prep. Teachers can use it for clear demonstrations, students can check homework and practice efficiently, and self-learners can build strong algebra fluency that carries directly into equations, functions, graphs, and calculus preparation.
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1. Factoring and Simplifying Algebraic Expressions
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2. Expanding Polynomials
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3. Factoring Polynomials
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4. Evaluating Algebraic Expressions
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5. Adding, Subtracting, and Multiplying Polynomials
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6. Partial Fraction Decomposer
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7. Rationalizing Algebraic Expressions
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8. Synthetic Division and Polynomial Division
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9. Simplifying Rational Expressions
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10. Algebraic Identity Verifier
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11. Operations on Rational Expressions
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12. Polynomial Root Finder and Factor Theorem
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13. Advanced Polynomial Applications and Word Problems
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14. Polynomial Graphing and Analysis Tool
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