Respuesta :

Answer:

Yes, it is a polynomial function

f(x) = 5x^3 - 6x^2 + 3x + 2

degree: 3rd

type: cubic function

leading coefficient: 5

Step-by-step 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.