MODEL POLYNOMIALS WITH ALGEBRA TILES

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Let us see how polynomials can be modeled using algebra tiles through the following examples

Example 1 :

What expression does this set of algebra tiles represent?

Solution :

Now we have to count the similar number of tiles and write the number of tiles in each category . 

Number of tiles in -x²  =  6

Number of tiles in x  =  10

Number of tiles in -1  =  2

Framing a equation by using the above information, we get

-6x² + 10x - 2

Example 2 :

What expression does this set of algebra tiles represent?

Solution :

Now we have to count the similar number of tiles and write the number of tiles in each category . 

Number of tiles in x²  =  3

Number of tiles in x  =  1

Number of tiles in -1  =  7

Framing a equation by using the above information, we get

3x2 + 1x - 7

Example 3 :

What expression does this set of algebra tiles represent?

Solution :

Now we have to count the similar number of tiles and write the number of tiles in each category . 

Number of tiles in -x²  =  1

Number of tiles in 1  =  3

Framing a equation by using the above information, we get

-1x² + 3

Example 4 :

What expression does this set of algebra tiles represent?

Solution :

Now we have to count the similar number of tiles and write the number of tiles in each category . 

Number of tiles in -x²  =  2

Number of tiles in -x  =  2

Number of tiles in 1  =  1

Framing a equation by using the above information, we get

-2x² - 2x + 1

Example 5 :

What expression does this set of algebra tiles represent?

Solution :

Now we have to count the similar number of tiles and write the number of tiles in each category . 

Number of tiles in x²  =  3

Number of tiles in x  =  1

Number of tiles in -1  =  4

Framing a equation by using the above information, we get

3x² + 1x - 4

Example 6 :

What expression does this set of algebra tiles represent?

Solution :

Now we have to count the similar number of tiles and write the number of tiles in each category . 

Number of tiles in x  =  8

Number of tiles in -1  =  3

Framing a equation by using the above information, we get

8x - 3

Example 7 :

What expression does this set of algebra tiles represent?

Solution :

Now we have to count the similar number of tiles and write the number of tiles in each category . 

Number of tiles in x²  =  7

Number of tiles in -x  =  9

Number of tiles in 1  =  10

Framing a equation by using the above information, we get

7x² - 9x + 10

Example 8 :

What expression does this set of algebra tiles represent?

Solution :

Now we have to count the similar number of tiles and write the number of tiles in each category . 

Number of tiles in -x²  =  9

Number of tiles in -x  =  7

Framing a equation by using the above information, we get

-9x² - 7x

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