Asked by Sandra
                how to factor 3x^3+7x^2+3x+1
            
            
        Answers
                    Answered by
            Reiny
            
    if you let f(x) = 3x^3+7x^2+3x+1
and if we want factors with rational coefficients, the the only choices for
f(x) = 0 would be if x = ±1 or x = ± 1/3
A quick mental check would show that none of these work, so I conclude that there are no rational factors.
    
and if we want factors with rational coefficients, the the only choices for
f(x) = 0 would be if x = ±1 or x = ± 1/3
A quick mental check would show that none of these work, so I conclude that there are no rational factors.
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