Name: 
 

Lesson 5 - Subtracting Polynomials



 
Match each polynomial expression with a tile model.
a.

    grp001-1.jpg
b.

      grp001-2.jpg
c.

    grp001-3.jpg
 

 1. 

(5x2 - 4x + 5) - (2x2 - 3x + 2)
 

 2. 

(-4x2 + 5x - 5) - (-2x2 + 3x - 1)
 

 3. 

(4y2 - 3xy + 6) - (3y2 - xy + 4)
 
 
Match each step of the polynomial subtraction with the tile model.
a.

     grp002-1.jpg
b.

      grp002-2.jpg
c.

     grp002-3.jpg
 

 4. 

Model the polynomial (3x2 + 4x - 2).
 

 5. 

Use the zero principle to subtract (5x2 - 2x + 5).
 

 6. 

Model the polynomial difference.
 

 7. 

What is the simplified polynomial for this difference?

         (3x2 + 2x 1) (7x2 3x + 5)
 
a.
-4x2 + 5x - 6
c.
-4x2 - 5x - 6
b.
10x2 - 5x + 6
d.
4x2 - x - 4
 

 8. 

What is the simplified polynomial for this difference?

         (4y2 5y + 3) (2y2 + 8y 1)
 
a.
-y2 - 3y + 2
c.
-2y2 + 13y - 4
b.
6y2 + 3y - 2
d.
-6y2 - 13y + 4
 

 9. 

What is the simplified polynomial for this difference?

         (5y2 7xy 4x2) (7y2 + 2xy 4x2)
 
a.
-2y2 - 9xy + 8x2
c.
12y2 - 9xy
b.
2y2 - 5xy - 8x2
d.
2y2 + 5xy
 

 10. 

The perimeter of this triangle is 3x + 4y - 5.
Which expression represents the unknown side?

                        mc010-1.jpg
a.
2x - y
b.
3y - 8
c.
y + 3x + 1
d.
6x - y - 2
 



 
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