SOLUTION: Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. Please show work f(x) = -2x4 + 4x3 + 3x2 + 18

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. Please show work f(x) = -2x4 + 4x3 + 3x2 + 18      Log On


   

Question 1113573: Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. Please show work
f(x) = -2x4 + 4x3 + 3x2 + 18
Answer by rothauserc(4718) About Me  (Show Source):
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f(x) = -2x^4 + 4x^3 + 3x^2 + 18
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The constant term is 18, so all the factors of 18 are possible numerators for the rational zeros. The lead coefficient is -2, so all the factors of -2 are possible denominators for the rational zeros.
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factors of 18 are 1,2,3,9,6,18
factors of -2 are +/- 1, +/- 2
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possible zeros are +/- 1, +/- 1/2, +/- 2, +/- 3, +/- 3/2, +/- 9, +/- 9/2, +- 6, +/- 18
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