SOLUTION: this is for Algebra 2. we are working on The Rational Zero Therem and i cannot figure the answer to this question. f(x)=3x^3+19x^2+4x-12

Algebra ->  Rational-functions -> SOLUTION: this is for Algebra 2. we are working on The Rational Zero Therem and i cannot figure the answer to this question. f(x)=3x^3+19x^2+4x-12      Log On


   



Question 394297: this is for Algebra 2. we are working on The Rational Zero Therem and i cannot figure the answer to this question.
f(x)=3x^3+19x^2+4x-12

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The rational root theorem states that if a polynomial f%28x%29+=+a%5Bn%5Dx%5En+%2B+a%5Bn-1%5Dx%5E%28n-1%29 + ... + a%5B0%5D has a rational root, then it must be in the form +- a/b, where a is a factor of a%5B0%5D and b is a factor of a%5Bn%5D. So, if +- a/b is a rational root for your given polynomial, it might be -12/3 or 6/1 or whatever...you can try plugging in a few possible rational numbers for yourself.