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

Multiplying PolynomialsMultiply 3 times 2 using the Tile method

2

3

11

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

Multiplying PolynomialsMultiply 14 times 12 using the stack method or 3rd grade method

14x 12

8241+

861

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

Multiplying Polynomials2 ( 3) Using the distributing property

First: Arrange your terms and draw your multiplication arrows2 ( 3)

Second: Multiply the terms= 6

Last: Combine any like terms (if possible)

Using the distributing property the answer is 6

Multiplying Polynomials

2 ( x + 2) Using the box method

For every term you have you create a box

X + 2

2

Then MULTIPLY each term to fill in the boxes

2X +4

Your answer is the terms INSIDE the box

The answer is 2x + 4

Multiply Polynomials

2( x + 2) Using the tile method.

Key

x

1

Using the box method your answer is 2x + 4

x

x

x

1

1

1 11

11

1

2x+4

Represent every term with a tile from the key

2

X +2

Then multiply each term

Combine the terms that are alike inside

Multiplying Polynomials

2 ( x + 2) Using the stack method

X + 2

2

+ 42x

Using the stack method 2 ( x + 2) = 2x + 4

Rearrange the terms in stacks

Then multiply the terms

X

Multiplying Polynomials2 ( 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

Multiplying Polynomials

x ( x + 5) Using the box method

x + 5

x 5xX

2

For every term you have you create a box

Then MULTIPLY each term to fill in the boxes

Your answer is the terms INSIDE the box

The answer is x + 5x2

Multiply Polynomialsx ( x + 5) Using the tile method

Represent every term with a tile from the keyKey

x

1x

X + 5 x 1 1 1 11

x x x x x x2

xThen multiply each term

Combine the terms that are alike inside

x2

+5x

Using the box method your answer is x +5x 2

Multiplying Polynomials

x(x+5) Using the stack method

x + 5

x

+5xx2

Rearrange the terms in stacks

XThen multiply the terms

Using the stack method x( x + 5) = x + 5x2

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

+ 5xLast: Combine any like terms (if possible)

Using the distributing property the answer is x + 5x 2

Multiplying Polynomials(x + 2 ) ( x + 3 ) Using the box method

X + 2

x

+3

2

For every term you have you create a boxThen MULTIPLY each term to fill in the boxes

x +2x

+3x +6

Your answer is the terms INSIDE the box

Before you get the final answer combine like terms.

x +5x +6

Using the box methodYour answer is X + 5x + 6

2

2

Multiplying Polynomials(x +2 ) (x + 3) Using the tile method

x2

x

x

x

x

x x x

1 1

111

1

111

1

1

Represent every term with a tile from the key

Key

x

1

X + 3

x + 2Then multiply each term

Combine the terms that are alike inside X

2

+3x+2x +6Using the box method your answer is X + 5x + 6

2

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+ X2

Then combine the same terms

+6+5x+ X 2

Using the stack method your answer is X + 5x + 6 2

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