SOLUTION: Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. x^ + 8x +12 / x^ + 9x +14 with / being the

Algebra ->  Absolute-value -> SOLUTION: Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. x^ + 8x +12 / x^ + 9x +14 with / being the      Log On


   

Question 245857: Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.

x^ + 8x +12 / x^ + 9x +14

with / being the fraction line
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
Did you mean:
(x^2 + 8x + 12)/x^2 + 9x + 14)?
Factoring the numerator and denominator gives:
((x+6)*(x+2))/((x+7)(x+2))
Cancelling the (x+2) factors we have:
(x+6)/x+7)
Since x = -7 makes the denominater 0, -7 is not in the domain.