SOLUTION: P(x) = 2x4 − 13x3 + 15x2 + x − 5. What are all of its possible rational zeros?

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Question 947525: P(x) = 2x4 − 13x3 + 15x2 + x − 5. What are all of its possible rational zeros?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
P(x) = 2x^4 − 13x^3 + 15x^2 + x − 5
.
(plus and minus) all combinations of factors of:
"coefficient of last term"/"coefficient of first term"
.
5/2 = (1,5)/(1,2)
.
possible factors:
1/1, 1/2, 5/1, 5/2
or
1, 1/2, 5, 5/2
.
answer:
-1, -1/2, -5, -5/2, 1, 1/2, 5, 5/2