SOLUTION: Use the Rational Root Teorem to list all possible rational roots. Then find any actual roots.
Please explain step by step.
x^4-7x^2+12=0
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Question 394496: Use the Rational Root Teorem to list all possible rational roots. Then find any actual roots.
Please explain step by step.
x^4-7x^2+12=0
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The possible rational roots are +/- 12, +/-6, +/-4, +/-3, +/-2, +/-1.
You can use synthetic division, or you can use the remainder theorem to try out the candidates:
, and .
Incidentally 2, -2 are the only rational roots. The other roots (irrational ) come from the factor (obtained from synthetic division).
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