Prime Numbers: Introducing Factoring
This clip introduces factoring, explaining in the process that every number equals itself times one, and that the order of the numbers doesn't matter in factoring.
Evaluating a Rational Expression
The method of substituting a value for the variables in a rational expression is called evaluating an expression.
Factor: x2 5x - 24
A quadratic trinomial in which the last term is negative is factored.
Examples of Division Problems with Radicals
Two division problems with radicals are demonstrated.
Factor: a2 - ac - ab bc
When grouping terms, the goal is to end up with an expression that is equal to the original polynomial. Close attention to the signs is necessary to ensure a correct outcome. Remember that a minus sign in front of parentheses is the same as subtract...
Variables and the Greatest Common Factor
To factor completely, the greatest common factor must include every number and variable that is a factor of each term in the polynomial. A demonstration of how variables can be a part of the greatest common factor.
Using Factoring to Solve an Equation
An equation is presented for solution in which factoring must be used. The solution is detailed and checked.
Solve: x2 - 8x 16 = 0
Practice solving a quadratic equation: x2 8x 16 = 0. Because this equation has two identical binomial factors, it has a single solution called a double root.
Solve: 12x2 7x - 10 = 0
Solving a quadratic equation in which the trinomial has a leading coefficient other than one.
Standard Quadratic Trinomial Form
The standard form for any quadratic trinomial is ax2 bx c.