Adding, Subtracting and Multiplying Polynomials
| Exponent Properties : | ||
| Rule: | Example | |
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| Adding/ Subtracting Polynomials : | ||
| To add two polynomials , simply add like terms |
Use commutative property to get like terms together. |
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| To Subtract two
polynomials , change all subtraction to addition, and then add like terms. Don’t forget to distribute the negative ! |
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| Distribute your negative ! |
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| Multiplying polynomials : | ||
| Monomial by monomial : Use the commutative property and the properties for exponents |
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| Monomial by any other polynomial :
just use the distributive property and the rules for exponents |
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| 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 . |
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Line up like terms, Add |
Simplify the following polynomials using the properties and examples above:
| Problem: | Simplified form: | |
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| 17 | Subtract (3x − 4) from (6x − 8) | |
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