SOLUTION: 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

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

I'll leave it to you to complete the list.
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