MATH I
posted by Tallie on .
x^2 + 5x +6/
x^2  3x 10
How do I do this? Is it asking me to divide?
The answer choices are as following:
A)x + 3/
x  5
, x ≠ 5
B)x + 3/
x  5
, x ≠ 2, 5
C)x2 + 5x + 6/
x  5
, x ≠ 5
D)x2 + 5x + 6/
x  5
, x ≠ 2, 5

I suppose the question is to simplify the expression:
(x^2 + 5x +6) / (x^2  3x 10)
The numerator and denominator can be factorized and rewritten as:
((x+2)(x+3)) / ((x+2)(x5))
If x≠1, then can can cancel the common factor (x+2) and reduce the expression to:
(x+3)/(x5)
The expression exists if x≠5.
Thus the answer for the simplified expression is
(x+3)/(x5) where x≠2,5