To add or subtract polynomial functions: 1. Align like terms of the polynomials being added or subtracted. 2. Combine like terms by adding or subtracting the coefficients. 3. The sum or difference of the polynomials is a new polynomial with terms consisting of the combined like terms.

1. Addition and Subtraction
of Polynomial Functions

3. Example 1. (2x2 – 3x + 1) + (3x – 4).
(2x2 – 3x + 1)
+ ( 3x – 4)
2x2 - 3
(2x2 – 3x + 1) + (3x – 4)
= 2x2 - 3

4. Example 2. (x5 – 3x4 + 4x – 1) – ( 2x5 – 2x + 2).
(x5 – 3x4 + 4x – 1)
+( -2x5 + 2x - 2)
-x5 – 3x4 + 6x – 3
x5 – 3x4 + 4x – 1) – ( 2x5 – 2x + 2)
= -x5 – 3x4 + 6x – 3

5. Let’s remember:
• The sum of two functions f and g is defined by (f + g (x)
= f(x) + g(x).
• To add polynomial functions, follow these steps:
1. Align like terms.
2. Combine like terms.

6. • To subtract two polynomial functions f and g, follow these
steps:
1. Align like terms of the given functions.
2. Change the minus sign to plus sign then
simultaneously get the additive inverse of each term of g(x).
3. Combine like terms.

7. Let’s Apply
Let f(x) = 2x3 – 3x + 4 and g(x) = 5x3 + 4x2 – 3x – 7.
Find the following:
1. f(x) + g(x)
2. f(x) – g(x)

8. Let f(x) = 2x3 – 3x + 4 and g(x) = 5x3 + 4x2 – 3x – 7.
1.f(x) + g(x)
2x3 – 3x + 4
+ (5x3 + 4x2 – 3x – 7)
7x3 + 4x2 – 6x – 3
2. f(x) – g(x)
2x3 – 3x + 4
+ (-5x3 - 4x2 + 3x + 7)
-3x3 - 4x2 + 11

9. THANK YOU!
SMSDGRADE10-MT. TRIUMPH
@ODL2020