Answer:
sorry is its complicated
Step-by-step explanation:
Find the components of the definition.
f
(
x
+
h
)
=
x
2
+
2
h
x
+
h
2
−
9
f
(
x
)
=
x
2
−
9
Plug in the components.
f
(
x
+
h
)
−
f
(
x
)
h
=
x
2
+
2
h
x
+
h
2
−
9
−
(
x
2
−
9
)
h
I am going to assume that the equation was supposed to be 
Answer:
It is a polynomial. It is a binomial and it has a degree of 5.
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so 
will be considered a polynomial.
A binomial is a polynomial with 2 terms.
The degree of a polynomial is the highest exponent in it which in this equation is 5.
If it is

=2c+9, go to AAAAAA
if it is (

)(4c+16)=2c+9, go to BBBBB
AAAAAAAAA

=2c+9

=2c+9
times 4c+16 to both sides
1=(2c+9)(4c+16)
distribute
1=8c^2+68c+144
minus 1 both sides
0=8c^2+68c+143
use quadratic formula
c=

or

BBBBBBBBBBBB
(3/3)(4c+16)=2c+9
1(4c+16)=2c+9
4c+16=2c+9
minus 2c both sides
2c+16=9
minus 16 both sides
2c=-7
divide both sides by 2
c=-7/2
c=-3.5
if it is

=2c+9,
c=

or

if it is (

)(4c+16)=2c+9, c=-3.5
In order to get rid of the fractions, you need to multiply the equation by 12