SOLUTION: List all possible rational zeros of the polynomial function f(x)=2x^3-4x^2+5x+6. explain and show solution.

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Question 983756: List all possible rational zeros of the polynomial function f(x)=2x^3-4x^2+5x+6. explain and show solution.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
The possible roots to check are:
Plus&Minuses of 1,2,3,6,1/2,3/2;
NONE of them will give remainder of 0 when checked in synthetic division.
The coefficients p and q for possible roots p/q are from factors for p=6 and factors for q=2.

The function has ONE real root. -0.689 is that real root. This would not be found using Rational Roots Theorem. The root calculator at http://xrjunque.nom.es/Polycalc.aspx?tb1=y%3d2x^3-4x^2%2b5x%2b6&tb3=&rnd=True&frac=False&ignoreSpaces=True was used.
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xrjunque.nom.es/rootfinder.aspx