For the polynomial function, (a) list all possible rational zeros, (b) find all rational zero, and (c) factor f(x)! f(x)=6x^3+13x^2_41x+12

1 answer

numerator must be 1,2,3,4,6,12
denominator must be in 1,2,3,6
+ or - also possible

look for the easy ones first. I usually eschew fractions, so some trial and error produced

6x^3+13x^2-41x+12 = (x+4)(6x^2-11x+3)

Now you can solve the quadratic by factoring or formula.
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