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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 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
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
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
Multiplying Polynomials ,[object Object],[object Object],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 ,[object Object],Key  x 1 Using the box method your answer is  2x + 4   x x x 1 1 1 1 1 1 1 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 ,[object Object],[object Object],[object Object],+ 4 2x Using the stack method 2 ( x + 2) = 2x + 4 Rearrange the terms in stacks Then multiply the terms X
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
Multiplying Polynomials ,[object Object],[object Object],[object Object],X 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  + 5x 2 5x
Multiply Polynomials ,[object Object],Represent every term with a tile from the key Key  x 1 x X + 5 x 1 1 1 1 1 x x x x x x 2 x Then multiply each term Combine the terms that are alike inside  x 2 +5x Using the box method your answer is  x  +5x   2
Multiplying Polynomials ,[object Object],[object Object],[object Object],+5x x 2 Rearrange the terms in stacks X Then multiply the terms Using the stack method x( x + 5) = x  + 5x 2
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
Multiplying Polynomials ,[object Object],[object Object],[object Object],[object Object],2 For every term you have you create a box Then  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 method Your answer is  X  + 5x + 6 2 2
Multiplying Polynomials ,[object Object],x 2 x x x x x x x 1 1 1 1 1 1 1 1 1 1 1 Represent every term with a tile from the key Key  x 1 X + 3 x + 2 Then multiply each term Combine the terms that are alike inside  X  2 +3x +2x +6 Using 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 + X 2 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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Multiplying Binomialspwp

  • 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
  • 5.
  • 6.
  • 7.
  • 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
  • 9.
  • 10.
  • 11.
  • 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
  • 13.
  • 14.
  • 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