Algebra
Quadratic Equations
A quadratic equation has the form ax² + bx + c = 0. It can have two, one, or zero real solutions.
Key Formulas
Quadratic formula
Solves any quadratic equation.
Discriminant
Determines the nature of the roots.
Key Concepts
FactoringCompleting the squareDiscriminantParabola vertex
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.
Polynomials
A polynomial is an expression of multiple terms with variables raised to non-negative integer powers.
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.