Use the given polynomial function to answer the questions below: f(x)=x^{3}+13 x^{2}+57 x+85 a) Locate one real zero of the polynomial by using the possible rational zeros theorem,factor and remainder theorems. [5 Points].

\text { All Possible Rational Zeros: } \frac{p}{q}=\pm\{ Use the remainder and factor theorems to find one real zero of the polynomial and list it below: \text { Real Zero@x= } b) Use polynomial or synthetic division to factor your polynomial. Rewrite (x) in factored form using the quadratic you obtained as a result of your division. [3 points]. c) Use the quadratic formula to find the complex/imaginary zeros of the polynomial (Hint:there should be two). [3 points].