Factor by Grouping
Summary of the procedure for factoring by grouping.
Factor 35x 15y - 20z
Demonstration of factoring a polynomial with three terms that share a common factor: 35x 15y - 20z.
Subtraction Problem That Requires Factoring, A
Solving a problem in which both denominators are quadratic trinomials is demonstrated.
Solving an Equation with the Least Common Denominator: Another Practice Problem
A problem is presented to practice solving an equation using the least common denominator to get a quadratic equation.
Thoroughly Check for Common Factors
Be thorough when checking for common factors, especially when factoring by inspection. You have not factored completely until no common factors remain.
Factoring Polynomials - The Distributive Law
Factoring is the process of writing a polynomial as a product of its factors. The distributive law is one of a number of ways to factor polynomials.
Solving Quadratic Equations by Factoring
A quadratic equation in which the quadratic trinomial has a leading coefficient of one can be solved by factoring. An example is given that also utilizes the zero factor property.
Solve: 3x(x - 2) = 14
The equation 3x(x - 2) = 14 is solved using the quadratic formula.
Solving Equations Not Written in Standard Form
Before solving a quadratic equation, it must be written in standard form. The procedure is demonstrated.
Practical Problem: How Much Land to Buy
A practical problem involving the purchase of land is presented. The available information is organized into a table, an equation is written, then solved using the least common denominator to get a quadratic equation, and the solution checked.