Math A

Multiplying
Binomials

 

Multiply (x + 3)(x + 2)

 

 

 

 

Below are 4 methods for multiplying binomials.

  

 

 

FOIL Method: multiply First Outer Inner Last
 
F:  (x + 3)(x + 2) 
O:  (x + 3)(x + 2)
I:   (x + 3)(x + 2) 
L:  (x + 3)(x + 2)
   
 


 

Vertical Method:
 

x + 3  

 

x + 2  

 
 
x² + 3x         multiply "x" from bottom term times "x+3"
Be sure to line up
the like terms.		 2x + 6    multiply "2" from bottom term times "x+3"
 

x² + 5x + 6

    add the like terms


 

Using Algebra Tiles
To multiply binomials using algebra tiles, place one term at the top of the grid and the second term on the side of the grid.  You MUST maintain straight lines when you are filling in the center of the grid.  The tiles needed to complete the inner grid will be your answer.Smul_b3.gif
Smul_b2.gif

 

 

 

 

 

Answer: x²+5x+6


 

Grid Method
To multiply binomials using a grid, place one term at the top of the grid (separating the elements into each compartment of the grid) and the second term on the side of the grid.  You then multiply the rows and columns of the grid as you would in a coordinate system.  Finish by combining like terms.

Smul_b4.gif

Answer:  x²+5x+6 

 

 

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Roberts

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