What are the rational zeros of f(x)=x^3-13x^2+47x-35 Choose the possible rational zeros for f(x)=x^3-13x^2+47x-35 A. 1,5,7 B. 1,5,7,35 C. pm 1,pm 5,pm 7,pm 35 D. pm 1,pm 5,pm 7

To find the rational zeros of the polynomial \( f(x) = x^3 - 13x^2 + 47x - 35 \), we can use the Rational Root Theorem. This theorem states that any rational zero, expressed as a fraction , must have as a factor of the constant term and as a factor of the leading coefficient.For the polynomial \( f(x) = x^3 - 13x^2 + 47x - 35 \):- The constant term is .- The leading coefficient is .The factors of (constant term) are: The factors of (leading coefficient) are: Thus, the possible rational zeros are: Therefore, the correct answer is:C.