SOLUTION: Please tell me what are all the rational zeros for the function {{{ g(t) = 2t^4 - 3t^3 + 16t - 24 }}}?

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Question 1057682: Please tell me what are all the rational zeros for the function +g%28t%29+=+2t%5E4+-+3t%5E3+%2B+16t+-+24+?


Answer by josgarithmetic(39633) About Me  (Show Source):
You can put this solution on YOUR website!
To find the RATIONAL zeros, use the Rational Roots Theorem. Make a list of all the possible roots to check, and check them using synthetic division, refactorizing each time, until you exhaust your list.

Roots q%2Fp to check:
The pluses and minuses of q for 1,2,3,4,6,8,16,18,24;
p for pluses and minuses of 1, 2.

You can expect -2 to be shown as a root, and 1.5=3%2F2 to be shown as a root. You should find no other real nor rational roots; but unsure about any multiplicities ( I resorted to Google's graphing feature).