INDEX
Numbers and Sets
Complex Numbers
Exponentiation
Algebraic Equations and Inequalities
Functions
Discrete Algebra
Basic Formulas
Graphics of Basic Functions
Algebraic Transformations
Balloon 2

Algebraic Expressions

Basic Definitions

Polynomials

Algebraic Transformations

Outline

Factoring

Factoring Quadratic Polynomials

Factoring Cubic Polynomials

Factor Theorems

Other Transformations

Expanding

Completing Perfect Square

Rationalizing Denominators


Completing Perfect Square
Key Topics Remaining:   Rationalizing Denominators

Let us transform the quadratic polynomial,

a x2 + b x + c,

by completing the perfect square:

Presentation of quadratic polynomials in a similar form will be used in the following sections for:

  •     graphical plotting quadratic functions;
  •     factoring quadratic polynomials;
  •     solving quadratic equations.

  • Examples
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