SOLUTION: I am having some trouble with this question. I am supposed to find the rational zeros and then the other zeros; that is, solve f(x)=0; and factor f(x) into linear factors for th

Question 1143451: I am having some trouble with this question.
I am supposed to find the rational zeros and then the other zeros; that is, solve f(x)=0; and factor f(x) into linear factors for this equation

f(x)=x^3-8x^2+17x-4

Thanks in Advance!
Found 2 solutions by math_helper, josgarithmetic:
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

[ In factor x-a out from the polynomial, a must be a factor of -4: so +/-1, +/-2, and +/-4 are the choices. ]
That gets you the rational root x=4

factors to
which will give you the other roots.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Use synthetic division to test the possible zeros of -1, -2, -4, 1, 2, 4 and see which of them give remainders of 0.
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