For the polynomial function, (a) list all possible rational zeros, (b) find all rational zeros, and (c) factor $$ f(x) $$. $$ f(x)=x^{3}-13 x^{2}+47 x-35 $$

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(a) Possible rational zeros: ±1, ±5, ±7, ±35 (b) Actual rational zeros: x = 1, 5, 7 (c) Factored form: $$ (x-7)(x-5)(x-1) $$

For the polynomial function, (a) list all possible rational zeros, (b) find all rational zeros, and (c) factor \( f(x) \). \( f(x)=x^{3}-13 x^{2}+47 x-35 \)

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For the polynomial function, (a) list all possible rational zeros, (b) find all rational zeros, and (c) factor \( f(x) \). \( f(x)=x^{3}-13 x^{2}+47 x-35 \)

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