The document provides instructions for multiplying polynomials using different methods: 1) The box method involves creating a box for each term and multiplying the terms to fill in the boxes. 2) The tile method represents each term with a tile and combines like terms. 3) The stack method rearranges terms in stacks and multiplies vertically. 4) The distributing property method draws arrows between terms and multiplies accordingly. Examples are provided for multiplying different polynomials like 2(3), 2(x+2), and (x+2)(x+3) using these various methods.

1. Multiplying Polynomials Multiply 2 ( 3 ) using the box method 3 2 Multiplying 3 times 2 using the box method shows that the answer is 6 For every term you have you create a box Then MULTIPLY each term to fill in the boxes +6 Your answer is the terms INSIDE the box

2. Multiplying Polynomials Multiply 3 times 2 using the Tile method 2 3 1 1 1 Multiplying 3 times 2 using the Tile Method the answer is 6 6 1 1 1 1 1 1 1 1 Represent every term with a tile from the key Key 1 Then multiply each term Combine the terms that are alike inside

3. Multiplying Polynomials Multiply 14 times 12 using the stack method or 3 rd grade method 14 x 12 8 2 4 1 + 8 6 1 1. Multiply the first bottom digit with the top digits 2. Multiply the second digit with the top digits 3. Add the digits vertically Using the stack method (14)(12) = 168

4. Multiplying Polynomials 2 ( 3) Using the distributing property First: Arrange your terms and draw your multiplication arrows 2 ( 3) Second: Multiply the terms = 6 Last: Combine any like terms (if possible) Using the distributing property the answer is 6

8. Multiplying Polynomials 2 ( x + 2) = Using distributing property First: Arrange your terms and draw your multiplication arrows 2 ( x + 2) Second: Multiply the terms 2x + 4 Last: Combine any like terms (if possible) Using the distributing property the answer is 2x + 4

12. Multiplying Polynomials x ( x + 5) = Using distributing property First: Arrange your terms and draw your multiplication arrows x ( x + 5) Second: Multiply the terms x 2 + 5x Last: Combine any like terms (if possible) Using the distributing property the answer is x + 5x 2

15. Multiplying Polynomials ( x +2 ) ( x + 3 ) Using the stack method Rearrange the terms in stacks x + 2 x + 3 x Then multiply the terms First: one bottom by the two tops. +6 +3x Second: The other bottom by the two tops +2x + X 2 Then combine the same terms +6 +5x + X 2 Using the stack method your answer is X + 5x + 6 2

16. Multiplying Polynomials (x + 2) ( x + 3) = Using distributing property or FOIL First: Arrange your terms and draw your multiplication arrows (x + 2 ) ( x + 3) Second: Multiply the terms in FOIL Form: First Outers, Inners Last x 2 +6 + 2x + 3x Last: Combine any like terms (if possible) x 2 +5x +6 Using the distributing property or FOIL the answer is x + 5x +6 2