SOLUTION: 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 facto

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Question 124608This question is from textbook
: 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. This question is from textbook

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
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
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Factor to get:
[x-5)(x+2)] / [(x-3)^2]
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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)
--------
Ans: Select "c".
Cheers,
Stan H.

Answer by Edwin McCravy(20055) (Show Source):
You can put this solution on YOUR website!
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SOLUTION BY EDWIN:
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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.

To make a sign pattern chart you need to factor the numerator and denominator: > 0 > 0 > 0 (c) is the only choice above that has all of the factors and no incorrect ones. Edwin