Domain & Simplifying by Factoring Objectives:  Be able to find the domain of rational and radical expressions.  Be able to use GCF to factor expressions. TS: Making Decisions After Reflection and Review Warm-Up: Factor the following a) 10x 2 – 5x b) 23x 3 y – 2x 2 y 4

So in order to factor out a GCF all you need to do is… 1) Factor out the greatest numerical value 2) Identify all common variables or expressions 3) Factor out the smaller variable amount by subtracting the smaller power from the larger

Factor the following expression. 1)

Factor the following expression. 2)

Factor the following expression. 3)

Factor the following expression. 4)

Factor the following expression. 5)

Factor the following expression. 6)

Finding the Domain of a Function The domain of a function is the set of x-values when plugged into a function give a real number. Example: For the domain is [2, ∞) For the domain is (-∞, 0) U (0, ∞)

Find the domain of the following function. 7)

Find the domain of the following function. 8)

Find the domain of the following function. 9)