Determine if the function is a polynomial function. if the function is a polynomial function, state the degree and the leading coefficient. if the function is not a polynomial, state why. f(x)=(2x+3)^2(3x+5)^2 this is not a polynomial function because there is no leading coefficient. this is a polynomial function of degree 4 with a leading coefficient of 36. this is a polynomial function of degree 4 with a leading coefficient of −36. this is not a polynomial function as the factors are not all linear.