SOLUTION: What are the possible rational roots for 2x^4+11x^3+x^2-10x-4?

Question 332608: What are the possible rational roots for 2x^4+11x^3+x^2-10x-4?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The rational roots theorem says that if a polynomial equation has rational roots, then these roots must be of the form:

where

is an integer factor of the lead coefficient, and

is an integer factor of the constant term.

The factors of your lead coefficient are 1 and 2, and the factors of your constant term are 1, 2, and 4. So take the

, the 1 and 2 for the denominator, and the 1, 2, and 4 for the numerator, and make all possible distinctly different rational numbers. Those are your possible rational roots. You have a 4th degree polynomial equation, so you must have 4 roots. Zero, 2, or 4 of them will be rational.

John

My calculator said it, I believe it, that settles it

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