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Using the Rational Zeros Theorem (\(\frac{p}{q}\) where p is the factors of the constant, and q is the factors of the Leading Coefficient) List all possible rational zeros for the given function. Then, algebraically determine which, if any, possible zeros are actually zeros.

f(x)=2x3-9x2+14x-5

 

I've done the Rational Zeros Theorem, and can confidently say that 1/2 is the only zero in that list that works.

AdamTaurus  Oct 31, 2017
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 #1
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This graph  confirms your suspicions, AT :

 

https://www.desmos.com/calculator/e91hazjxx9

 

x =  1/2 is the only real root

 

 

 

cool cool cool

CPhill  Nov 1, 2017
 #2
avatar+634 
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Thank CPhill!

AdamTaurus  Nov 1, 2017

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