use the rational zeros theorem to write a list of all possible rational zeros of the function.

f(x)=3x^3+39x^2+39x+27

Question

use the  rational zeros theorem to write a list of all possible rational zeros of the function.

f(x)=3x^3+39x^2+39x+27

anonymous · Answer

all fractions $\frac{p}{q}$ where the numerator $p$ divides $27$ and the denomnator $q$ divides $3$

anonymous · Answer

there are a bunch
the numerator could be either 1, 3, 9 or 27
the denominator could be either 1 or 3
and don't forget the $\pm$

anonymous · Answer

can you show me the working please. im having problems with this specific problem

anonymous · Answer

ok lets make a list 

$$\pm1,\pm3,\pm9,\pm27$$ is a start 
there i took the numerator to be divisors of 27 and the denominator to be 1

anonymous · Answer

now we can take the denominator to be 3, but we only get two new ones 
$$\pm\frac{1}{3}$$ because if you divide any of the other by 3 you get a number already in the list

anonymous · Answer

that is the complete list of possible rational zeros