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.
The method of substituting a value for the variables in a rational expression is called evaluating an expression.
A quadratic trinomial in which the last term is negative is factored.
Two division problems with radicals are demonstrated.
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...
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.
An equation is presented for solution in which factoring must be used. The solution is detailed and checked.
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.
Solving a quadratic equation in which the trinomial has a leading coefficient other than one.
The standard form for any quadratic trinomial is ax2 bx c.