For the polynomial function, (a) list all possible rational zeros, (b) find all rational zeros, and Bold left parenthesis c right parenthesis factor f left parenthesis x right parenthesis. f(x)equalsx cubed plus x squared minus 37 x plus 35 Question content area bottom Part 1 (a) Determine the possible rational zeros for f(x). Choose the correct answer below. A.plus or minus 1 comma plus or minus 5 comma plus or minus 7 plus or minus 1 comma plus or minus 5 comma plus or minus 7 B.1 comma 5 comma 7 comma 35 1 comma 5 comma 7 comma 35 C.1 comma 5 comma negative 7 1 comma 5 comma negative 7 D.plus or minus 1 comma plus or minus 5 comma plus or minus 7 comma plus or minus 35 plus or minus 1 comma plus or minus 5 comma plus or minus 7 comma plus or minus 35 Your answer is correct. Part 2 (b) Determine the rational zeros for f(x). Choose the correct answer below. A.1 1 B.plus or minus 1 comma plus or minus 5 comma plus or minus 7 comma plus or minus 35 plus or minus 1 comma plus or minus 5 comma plus or minus 7 comma plus or minus 35 C.negative 1 comma negative 5 comma 7 negative 1 comma negative 5 comma 7 D.1 comma 5 comma negative 7 1 comma 5 comma negative 7 Your answer is correct. Part 3 (c) The factored form of f(x)equalsx cubed plus x squared minus 37 x plus 35 is f(x)equals enter your response here. (Simplify your answer. Factor completely. Use integers or fractions for any numbers in the expression.)