Adding, Subtracting and Multiplying Polynomials
Exponent Properties : | ||
Rule: | Example | |
and | ||
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 . |
Line up like terms, Add |
Simplify the following polynomials using the properties and examples above:
Problem: | Simplified form: | |
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2 | ||
3 | ||
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8 | ||
9 | ||
10 | ||
11 | ||
12 | ||
13 | ||
14 | ||
15 | ||
16 | ||
17 | Subtract (3x − 4) from (6x − 8) | |
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19 | ||
20 |
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