SOLUTION: f(x)=x^5-3x^4-3x^3+9x^2-4x+12 How do i find only the rational zeros for this equation?

SOLUTION: f(x)=x^5-3x^4-3x^3+9x^2-4x+12 How do i find only the rational zeros for this equation?

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Question 148170: f(x)=x^5-3x^4-3x^3+9x^2-4x+12
How do i find only the rational zeros for this equation?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Any rational zero can be found through this equation

where p and q are the factors of the last and first coefficients

So let's list the factors of 12 (the last coefficient):

Now let's list the factors of 1 (the first coefficient):

Now let's divide each factor of the last coefficient by each factor of the first coefficient

Now simplify

These are all the distinct rational zeros of the function that could occur

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