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Use the Rational Zero Theorem to list all possible rational zeros for the given function

f(x)=3x^4+3x^3+15x^2-15x-6

 Feb 26, 2020
 #1
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The possible rational zeroes  are

 

±  [  all the  factors  of  6  ]  / [ all the factors of  3  ] =

 

Factors of  6  =   1,2,3,6

Factors of 3   = 1,3

 

So  we  have  these

 

± [ 1/1, 2/1 , 3/1, 6/1, 1/3, 2/3  ]  =

 

± [ 1/3, 2/3 , 1 , 2, 3, 6 ]

 

cool cool cool

 Feb 26, 2020

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