possible rational zeros

Question

Use the rational zero theorem to find all possible rational zeros for the polynomial function f(x)=x^3-3x^2-25x-21.

What are the possible rational zeros of (f)x=x^3-3x^2-25x-21?

 

 

help is greatly appreciated, thank you!

Answer 1

The rational zero theorem says that if a polynomial has integer coefficients then any rational zeros must be of the form p/q where p is a factor of the constant term and q is a factor of the leading coefficient.  

 

So for example, for  f(x) = x^2 - 7x + 6

the possible rational zeros are ±1, ±2, ±3, ±6  

 

Note that you need to include both positive and negative factors.  

 

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