Undefined Expressions

A rational expression Frac , where n(x) and d(x) are polynomial expressions is defined when unequal. Since division by 0 is undefined, the expression(s) in the denominator can not equal zero. Values that make an expression in the denominator equal to zero are excluded values.

Example Find excluded value(s) if they exist.

frac2

Step 1. Factor the expression in the denominator.

frac3

Step 2. Set each factor in the denominator equal to zero.

x + 1 = 0 or x + 2 = 0

Step 3. Solve each equation.

x = -1 or x = -2

Therefore, -1 and -2 are the excluded values for x.