Using the Rational Root Theorem, what are all the rational roots of the polynomial f (x) = 20x4 + x3 + 8x2 + x - 12?

Question

Jayden Glover

Mathematics

28 January, 21:29

Using the Rational Root Theorem, what are all the rational roots of the polynomial f (x) = 20x4 + x3 + 8x2 + x - 12?

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Answers (2)

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Romeo · Answer 1

+or - 1, + or - 1/2, + or - 1/4,+or - 1/5, + or - 1/10, + or-1/20, + or - 2, ect.

Heidy Hebert · Answer 2

Factors of constant term (-12) = + / - 1, + / - 2, + / - 3, + / - 4, + / - 6, + / - 12 (=p)

Factors of leading coefficient (20) = + / - 1, + / - 2, + / - 4, + / - 5, + / - 10, + / - 20. (=q)

possible roots are p/q = + / - 1/1, + / - 1/2, + / - 1/4, + / - 1/5 ... and so on