Use the Rational Roots Theorem to form a list of possible rational roots of the given polynomial equation:

3x^7 + 5x^3 -4 = 0

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constant term is 4 with factors 1,2,4

the leading coefficient is 3 with factors 1,3

then rational roots test yields

+-(1,2,4)/(1,3)

=+-1/(1,3),2/(1,3),4/(1,3)

=+-1/1,1/3,2/1,2/3,4/1,4/3

=+-1,2,4,1/3,2/3,4/3

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