Adding, Subtracting and Multiplying Polynomials
Exponent Properties : | ||
Rule: | Example | |
![]() |
![]() |
|
![]() |
![]() |
|
![]() |
![]() |
|
![]() |
![]() |
|
![]() |
![]() |
|
![]() |
![]() |
|
![]() ![]() |
||
Adding/ Subtracting Polynomials : | ||
To add two polynomials , simply add like terms |
Use commutative property to get like terms together. |
![]() |
To Subtract two
polynomials , change all subtraction to addition, and then add like terms. Don’t forget to distribute the negative ! |
![]() |
|
Distribute your negative ! |
||
Multiplying polynomials : | ||
Monomial by monomial : Use the commutative property and the properties for exponents |
![]() |
|
Monomial by any other polynomial :
just use the distributive property and the rules for exponents |
![]() |
|
FOIL method (for two binomials only): First, Outside, Inside, Last |
Combine like terms | ![]() |
Column method (for other
polynomials): Line up like long multiplication, but work from left to right and line up like terms . |
![]() |
Line up like terms, Add |
Simplify the following polynomials using the properties and examples above:
Problem: | Simplified form: | |
1 | ![]() |
|
2 | ![]() |
|
3 | ![]() |
|
4 | ![]() |
|
5 | ![]() |
|
6 | ![]() |
|
7 | ![]() |
|
8 | ![]() |
|
9 | ![]() |
|
10 | ![]() |
|
11 | ![]() |
|
12 | ![]() |
|
13 | ![]() |
|
14 | ![]() |
|
15 | ![]() |
|
16 | ![]() |
|
17 | Subtract (3x − 4) from (6x − 8) | |
18 | ![]() |
|
19 | ![]() |
|
20 | ![]() |
Prev | Next |