Use the following function to answer parts a through cf(x) = 11x+127x +67x+11a. List all rational zeros that are possible according to the Rational Zero

Use the following function to answer parts a through cf(x) = 11x³+127x² +67x+11a. List all rational zeros that are possible according to the Rational Zero Theorem.+-1, +-1/11+-11(Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)b. Use synthe division to test several possible rational zeros in order to identify one actual zero.One rational zero of the given function is __(Simplify your answer)c. Use the zero from part (b) to find all real zeros of the polynomial function.The real zeros of the function are