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) (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: