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.

The correct option is 2. The given function is a polynomial of degree 4 with a leading coefficient of 36.

Step-by-step explanation:

A polynomial function is defined as

The given function is

Using perfect square trinomial property.

Using distributive property, we get

The given function is a polynomial of degree 4 with a leading coefficient of 36.

Therefore the correct option is 2.

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.