1. Topic 1: Be able to combine functions and determine the resulting function.
Topic 2: Be able to find the product of functions and determine the resulting
function.
Topic 3: Be able to perform multiple operations on functions.
Topic 4: Determine if two given functions represent equivalent forms of the
same function..

2. Example 1: (3x2 + 7x - 12) + (-2x2 - 8x + 5)
I. Adding Polynomial Functions
Adding Polynomials is as simple as adding like terms together.
Example 1: (3x2 + 7x - 12) + (-2x2 - 8x + 5)
1x2
- 1x
- 7
Example 2: (-7x2 + 15) + (5x - 6)
-7x2
+ 5x
+ 9
Example 3: (3x + 5x2 – 4x3) + (-2 - 8x3 + 5x)
-12x3
+ 5x2
+ 8x
- 2

3. Example 4: (5x2 - 4x + 3) - (6x2 - 3x + 2)
II. Subtracting Polynomial Functions
Example 4: (5x2 - 4x + 3) - (6x2 - 3x + 2)
Distribute the subtraction sign to change the problem into an addition problem.
(5x2 - 4x + 3) + (-6x2 + 3x - 2)
-1x2
- 1x
+ 1
Example 5: (6x3 + 7x - 4) - (-8x2 + 4x - 9)
(6x3 + 7x - 4) + (8x2 - 4x + 9)
6x3
+ 8x2
+ 3x
+ 5
Example 6: (4x + 3x3 – 2x2) - (7 + 6x3 + 4x)
(4x + 3x3 – 2x2) + (-7 - 6x3 - 4x)
-3x3
-2x2
- 7