Algebra
Polynomials
A polynomial is an expression of multiple terms with variables raised to non-negative integer powers.
Key Formulas
Degree
The degree determines the shape of the graph.
Key Concepts
FactoringLong divisionSynthetic divisionRoots and zeros
Worked Examples
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Linear Equations
A linear equation is an equation of the first degree — the highest power of the variable is 1. It graphs as a straight line.
Quadratic Equations
A quadratic equation has the form ax² + bx + c = 0. It can have two, one, or zero real solutions.
Functions
A function is a relation that assigns each input exactly one output. Functions are central to all of mathematics.
Systems of Equations
A system of equations is a set of equations with multiple variables that are solved together.