If all the coefficients of a polynomial are integers, prove that the denominators of all the rarional zeroes are divisors of the leading coefficient.​

1 ⅛ cups shredded extra-sharp white Cheddar cheese

1 ⅛ cups shredded Swiss cheese

2 tablespoons freshly shredded Parmesan cheese

1 ½ tablespoons cornstarch

½ (12 fluid ounce) can or bottle Irish stout beer (such as Guinness®)

1 tablespoon steak sauce

1 teaspoon Worcestershire sauce

1 teaspoon garlic powder

½ teaspoon hot pepper sauce (such as Cholula®)

¼ teaspoon ground dry mustard

freshly ground black pepper to taste