SOLUTION: Find all real zeros: {{{ f(x)=4x^4-8x^3-19x^2+23x-6 }}} Thanks for the help!

Question 834474: Find all real zeros:

Thanks for the help!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

The possible rational zeros can be written as or where is a factor of and is a factor of .
They are:
-6,-3,-2,-1,1,2,3,6,
-3/2,-3/4,-1/2,-1/4,1/4,1/2,3/4,3/2.
Trying the easiest ones first, we find two zeros:

Since and ,
and are factors of .
So, we can divide by and by one after the other,
or we can divide by .
Either way, the final quotient is ,
which has as a double zero.
So , and the zeros of are
, , and .
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