Expanding Binomials 0-2. Different Ways of Multiplying Binomials FOIL Traditional/Regular Multiplying Seperate and Distribute Separate and Distribute.

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Presentation transcript:

Expanding Binomials 0-2

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!

FOIL (3x + 2) (7x + 4) (Write them out) 21x x + 14x + 8 (Combine Like Terms) 21x x + 8 F = First 3x * 7x O = Outer 3x * 4 I = Inner 2 * 7x L = Last 2 * 4 F O I L

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.

Regular/Traditional Multiplying (3x + 2) (7x + 4) 3x + 2 * 7x x + 8 Multiply the +4 times the 2 and the 3x 21x x + 0 Multiply the 7x times the 2 and the 3x 21x x + 8 The 0 is a place holder. You put this in to show that you are finished in the ones position.

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.

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.

Separate and Distribute 3x (7x + 4)  3x * 7x + 3x * 4  21x x +2 (7x + 4)  2 * 7x + 2 * 4  + 14x x x + 8 *Note* The only terms that you should be combining together are the two x terms.

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.

So, Which One Do I Use? It is your choice on which one that you use. Decide on which one is easier for you!

Classwork Page P6#1-16