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Showing results - 71 to 80 of 81
Prime Numbers: Introducing Factoring
01:31

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
01:25

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
01:07

Factor: x2 5x - 24

A quadratic trinomial in which the last term is negative is factored.

Examples of Division Problems with Radicals
01:21

Examples of Division Problems with Radicals

Two division problems with radicals are demonstrated.

Factor: a2 - ac - ab   bc
02:05

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
03:36

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
01:55

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
00:58

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
02:10

Solve: 12x2 7x - 10 = 0

Solving a quadratic equation in which the trinomial has a leading coefficient other than one.

Standard Quadratic Trinomial Form
00:51

Standard Quadratic Trinomial Form

The standard form for any quadratic trinomial is ax2 bx c.