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Published byLaura Wade Modified over 9 years ago
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Expanding Binomials 0-2
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Different Ways of Multiplying Binomials FOIL Traditional/Regular Multiplying Seperate and Distribute Separate and Distribute is the only one that works 100% of the time on any problem given!
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FOIL (3x + 2) (7x + 4) (Write them out) 21x 2 + 12x + 14x + 8 (Combine Like Terms) 21x 2 + 26x + 8 F = First 3x * 7x O = Outer 3x * 4 I = Inner 2 * 7x L = Last 2 * 4 F O I L
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FOIL *Note* Make sure your final answer is in order. Being in order means that you have to put the terms in order from the highest exponent to the lowest exponent.
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Regular/Traditional Multiplying (3x + 2) (7x + 4) 3x + 2 * 7x + 4 12x + 8 Multiply the +4 times the 2 and the 3x 21x 2 + 14x + 0 Multiply the 7x times the 2 and the 3x 21x 2 + 26x + 8 The 0 is a place holder. You put this in to show that you are finished in the ones position.
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Regular/Traditional Multiplying *Note* Make sure your final answer is in order. Being in order means that you have to put the terms in order from the highest exponent to the lowest exponent.
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Separate and Distribute Step 1: Re-Write the second expression twice, one right under the other. Step 2: Separate the first express and attach each term to the second expression. Step 3: Distribute Step 4: Combine like terms. *Note* The only terms that you should be combining together are the two x terms.
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Separate and Distribute 3x (7x + 4) 3x * 7x + 3x * 4 21x 2 + 12x +2 (7x + 4) 2 * 7x + 2 * 4 + 14x + 8 21x 2 + 26x + 8 *Note* The only terms that you should be combining together are the two x terms.
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Separate and Distribute *Note* Make sure your final answer is in order. Being in order means that you have to put the terms in order from the highest exponent to the lowest exponent.
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So, Which One Do I Use? It is your choice on which one that you use. Decide on which one is easier for you!
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Classwork Page P6#1-16
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