SOLUTION: when solving for x in the problem below,what critical values do you use? (x^2+x-6)(x^2+4x+4)>0

Algebra ->  Algebra  -> Inequalities -> SOLUTION: when solving for x in the problem below,what critical values do you use? (x^2+x-6)(x^2+4x+4)>0      Log On

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Question 196905: when solving for x in the problem below,what critical values do you use?
(x^2+x-6)(x^2+4x+4)>0
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
( x^2 +x-6) (x^2+4x+4) >0
.
factor
.
(x+3)(x-2)(x+2)(x+2) >0
.
Points of interest,, x= -3,+2,-2,
.
set up a numberline, with regions defined by the above points
.
_____________A___-3___B___-2__________C_______________+2_______D_______
.
Region A, Test point (-4),,,,,,f(x) = +96,,,,,ok
.
Region B, Test Point ( -2.5 ) ,,,f(x) = -9/16,,,,,,not ok
.
Region C, Test Point (0),,,,,f(x) = -24,,,,,not ok
.
Region D, Test Point (3),,,,f(x) = 150,,, ok
.
Therefore: -3>x>+2