SOLUTION: Find all the rational zeros of f(x) = 6x^3 -13x^2 + x + 2.

Algebra ->  Rational-functions -> SOLUTION: Find all the rational zeros of f(x) = 6x^3 -13x^2 + x + 2.      Log On


   

Question 324760: Find all the rational zeros of f(x) = 6x^3 -13x^2 + x + 2.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+graph%28+300%2C+300%2C+-1%2C+3%2C+-2%2C+2%2C+6x%5E3+-13x%5E2+%2B+x+%2B+2%29+
Looks like x=2 is a zero.
Verify using the equation.
6%282%29%5E3-13%282%29%5E2%2B2%2B2=48-52%2B4=0
Yes, x=2 is a zero.
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You can guess and verify on the other two roots or do polynomial long division to find the remaining quadratic (then factor or use quadratic formula),
%286x%5E3-13x%5E2%2Bx%2B2%29%2F%28x-2%29