Question 1131744
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The given information that the roots are in AP makes the problem easy.<br>
For the shortest path to the solution, use the rational roots theorem as suggested by tutor @josgarithmetic and Vieta's theorem as suggested by tutor @ikleyn:<br>
(1) The possible rational roots are 1, 3, 5, -1, -3, and -5.
(2) The product of the roots is -(-15/1) = 15; the sum of the roots is -(-9)/1 = 9.<br>
The only possible rational roots that satisfy Vieta's theorem are 1, 3, and 5.<br>
ANSWER: The roots are 1, 3, and 5.