SOLUTION: 1. List the possible rational roots for the equation: x3 + x2 - 4x + 4 = 0 {�1, �2, �4} No answer is correct. {1, 2, 4} {�1, -2}

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Question 606749: 1. List the possible rational roots for the equation:
x3 + x2 - 4x + 4 = 0
{�1, �2, �4} No answer is correct.
{1, 2, 4} {�1, -2}

Found 2 solutions by richwmiller, solver91311:
Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
no answer is correct
the one real root is about -2.87513
exact form is x = 1/3 (-1-13/(73-6 sqrt(87))^(1/3)-(73-6 sqrt(87))^(1/3))

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

If a polynomial equation has a lead coefficient of and a constant coefficient of , then the list of possible rational roots will include ALL rational numbers of the form where is an integer factor of and is an integer factor of .

Note that since your lead coefficient is 1, all of the possible rational roots will have a denominator equal to 1, i.e. they are integers. Also note that any integer is a factor of itself.

John

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