SOLUTION: how do you do a problem like this x3+2x2-8x-16=0...its wanting me to list all possible rational roots and then find any actual rational roots.

Question 362572: how do you do a problem like this x3+2x2-8x-16=0...its wanting me to list all possible rational roots and then find any actual rational roots.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look at the factors of the leading coefficient, and the constant coefficient .
: Factors of 1 : {1}
: Factors of 16 : {1,2,4,8,16}
Possible zeros are of the form
{1/1,2/1,4/1,8/1,16/1} and their negative counterparts,
{-1,-2,-4,-8,-16}
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Looks like is a possible candidate.
Verify using the equation.

The other two roots are therefore irrational.

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