multiplying binomialspwp
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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
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