Question 124608
`<font size = 6>
SOLUTION BY EDWIN:
`</font>
Can someone please help me with this problem?
A sign pattern chart may be used to solve (x^2+3x-10)/(x^2-6x+9)>0. This sign patterns chart partitions the domain based on the factors
My answer options are:
a.(x+5)and(x-3)
b.(x+5)and(x-3)^2
c.(x+5),(x-2),and(x-3)
d.(x-5),(x+2),and(x+3)
Please help me answer this question as soon as possible. Thank you.
<pre><font size = 4><b>
To make a sign pattern chart you need to factor the numerator and 
denominator:


{{{(x^2+3x-10)/(x^2-6x+9)}}} > 0

{{{ ( (x+5)(x-2) )/( (x-3)(x-3) ) }}} > 0

{{{ ( (x+5)(x-2) ) / (x-3)^2 }}} > 0

(c) is the only choice above that has all of the factors
    and no incorrect ones.

Edwin</pre>