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Use the rational roots theorem to form a list of possible rational roots of 3x^7+5x^3-4=0 I have started this problem but am stuck...

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make all possible fractions where the numerator divides 4 and the denominator divides 3
they look like this \[\pm1,\pm2,\pm4,\pm\frac{1}{3},\pm\frac{2}{3},\pm\frac{4}{3}\]
hmm ok I was close I had the right idea. thanks how did you decide to use those numbers?

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grind it til you find it start with the easy ones like 1 and -1 btw no one says the actual roots have to be any of these just the POSSIBLE RATIONAL ROOTS
oh ok I see what you did, makes much more sense then my book! Thank you!

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