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Question

Find all the rational roots of 2x^4 - x^3 - 18x^2 + 14x + 15 = 0. Enter all the rational roots, separated by commas.

Accepted Answer

By the Rational Root Theorem, the only possible rational roots are of the form ab, where a 15 and b 2. Checking all possibilities, we find that the rational roots are 52,-3.