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.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

about 0.75 hours

step-by-step explanation: