SOLUTION: Someone please help me!!! The polynomial (2x+1)(x-2)(3x-4)is greater than zero for x (-infinity,-1/2)U(4/3,2) Is this true or false?

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Question 124617This question is from textbook
: Someone please help me!!!
The polynomial (2x+1)(x-2)(3x-4)is greater than zero for x (-infinity,-1/2)U(4/3,2)
Is this true or false?
This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(2x+1)(x-2)(3x-4)is greater than zero for x (-infinity,-1/2)U(4/3,2)
Is this true or false?
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Find the zero values of the polynomial:
x = -1/2 , x= 4/3, x = 2
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Draw a number line and plot those x-values on it.
They separate the line into four intervals.
Check a value in each interval to see where the solution set is:
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Is x = -1 you get: (-)(-)(-) > 0: that is false, so no solutions in the interval
(-inf,-1/2)
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Therefore the statement of your problem is false.
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Cheers,
Stan H.