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hold up

Try pluging all values till 6 and -6, it doenst look like this function have rational zeros.

From wolf.
http://www.wolframalpha.com/input/?i=0+%3D+4x%5E3+%E2%80%93+5x%5E2+%2B+9x+%E2%80%93+6.+

±2/4 and ±6/4 are already there, but simplified.

can you explain to me what your tallking about please

Alright, Do you know the rational root theorem though? How you got the ±1, ±2, etc?

First I found the factors of -6 and 4

So, your answer is correct :)

okay just write out the final answer for me to make sure

±1/4, ±1/2, ±3/4, ±1, ±3/2, ±2, ±3, ±6