domain & simplifying by factoring

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)10x2 – 5x

b)23x3y – 2x2y4

So in order to factor out a GCF all you need to do is…1) Factor out the greatest numerical value2) Identify all common variables or

expressions3) Factor out the smaller variable amount

by subtracting the smaller power from the larger

Factor the following expression.1) 31

2 210 2x x

Factor the following expression.2)

3 51 12 2 2 24 10x y x y

Factor the following expression.3) 2 3( 3) 5( 3)x x

Factor the following expression.4)

1 12 23(2 ) 2(2 )x x

Factor the following expression.5)

312 29( 1) 3( 1)x x

Factor the following expression.6)

31 1 12 2 2 24( 1) ( 2) 2( 1) ( 2)x x x x

Finding the Domain of a FunctionThe 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, ∞)

2y x

1y

x

Find the domain of the following function.7) 5 1y x

Find the domain of the following function.8) 1

1

xy

x

Find the domain of the following function.9) 1

6 42 3

y xx