SOLUTION: The possible rational roots of x3 + 3x2 – 4x + 2 are +/- 3 and +/- 2 True or False?

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Question 834322: The possible rational roots of x3 + 3x2 – 4x + 2 are +/- 3 and +/- 2 True or False?
Found 2 solutions by Fombitz, Theo:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rational roots test: Possible roots of the polynomial are x= 2%2F1,1%2F1,-1%2F1,-2%2F1

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if q is the leading coefficient and p is the constant, then the possible rational roots of the polynomial equation are p/q.
your q is 1.
your p is 2
the possible rational roots are +/- 1, 2
3 is not a possible rational root of this equation, therefore false.
while +/- 1 and +/-2 are possible rational roots, neither of them are roots of this equation.
the rational root only lists the possible rational roots, if they exist.
in this case they don't.

a graph of the equation shows that the equation has one root at x = -4.095824 which is not a rational number.
the graph of this equation looks like this:
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Cx%5E3+%2B+3x%5E2+-+4x+%2B+2%29