Overview
Understanding the properties of exponents and polynomials is fundamental in algebra. Exponents provide a way to express repeated multiplication, while polynomials are versatile expressions that can model various real-world situations. Mastering these concepts allows students to simplify complex expr...
Key Terms
Example: In 2³, 3 is the exponent, meaning 2 is multiplied by itself 3 times.
Example: 3x² + 2x - 5 is a polynomial.
Example: In 4x³ + 2x², the degree is 3.
Example: Factoring x² - 9 gives (x - 3)(x + 3).
Example: In 5x³ + 2x², the leading coefficient is 5.
Example: 5⁰ = 1.
Related Topics
Quadratic Functions
Study of polynomials of degree 2 and their properties.
intermediateRational Expressions
Exploring expressions that involve ratios of polynomials.
intermediateSystems of Equations
Solving multiple equations simultaneously, often involving polynomials.
advancedInequalities
Understanding and solving polynomial inequalities.
intermediateKey Concepts
Exponent RulesPolynomial OperationsFactoring PolynomialsGraphing Polynomials