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puppy33
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x^4 + 4x^3 + 3x^2 + 18
All the factors of 18. Namely, 1,2,3,6,9,18.
you need the positive and negative factors of the constant, 18 and call them p e.g. \[\pm1, \pm2, \pm3, \pm 6, \pm9, \pm18\] and all the factors of the leading coefficient -2 and call them q. you can find them then the possible rational zeros are p/q