Question 138173: Use the Rational Zero Theorem to list all possible rational zeros for the given functions.
f(x)=x^4+3x^3-4x^2+5x-12 Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website! If a polynomial has a zero , meaning that , then p is a factor of the constant term and q is a factor of the lead coefficient.
The lead coefficient is 1 in this case, so your problem is greatly simplified -- i.e., we are guaranteed that is an integer.
You need all the possible factors of the constant term, -12, remembering to include both the positive and negative of the possible factors.
1 and -1 are factors of -12
12 and -12 are factors of -12
2 and -2 are factors of -12