Answer:
Yes, it is a polynomial function
f(x) = 5x^3 - 6x^2 + 3x + 2
degree: 3rd
type: cubic function
leading coefficient: 5
Explanation:
A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving only non-negative integer powers of x. We can give a general defintion of a polynomial, and define its degree.
f(x) in standard form means arrange it due to the degree of x
=> f(x) = 5x^3 - 6x^2 + 3x + 2
degree is the highest exponent
=> degree: 3rd
type means the type of the polynomial function
=> type: cubic function
leading coefficient is the coefficient of the highest exponent, in this case, 5x^3 is the leading term
=> leading coefficient: 5
anyways, to do this you must have a calculator to graph the equation in order to determine the type of the graph.