Question 470436: Use the Rational Zero Theorem to list all possible rational zeros for the given function.
f(x) = 6x4 + 2x3 - 4x2 + 2
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Use the Rational Zero Theorem to list all possible rational zeros for the given function.
f(x) = 6x4 + 2x3 - 4x2 + 2
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f(x) = 6x^4 + 2x^3 - 4x^2 + 2
factors of p=2: ±1, ±2
factors of q=6: ±1, ±2, ±3, ±6
possible rational roots, (p/q): ±1, ±1/2, ±1/3, ±1/6, ±2, ±2/3
note: according to my graphing calculator, given function has no rational zeros.
see graph below which shows this.
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