Applications of Factoring

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1.

The room that is shown in the figure below has a floor space of 2x² + x - 15 square feet.  If the width of the room is (x + 3) feet, what is the length?

Choose:

(x - 3)
(2x - 5)
(x - 5)
(2x + 5)

 
 

 

2.

Interpret the factoring model shown below:


becomes ...

Choose:

a² + b²  becomes  (a + b)(a + b)
a² - b²   becomes  (a + b)(a - b)
a² - b²   becomes  (ab)(a - b)
a² + b²  becomes  (ab)(a - b)


 

 

3.

The diagram below shows two squares.  What is the area of the orange section, expressed in factored form?

Choose:

(a - b)(a - b)
(a - b)(a + b)
(a + b)(a + b)
(a² + b²)

 

 

4.

Juan tells you that he squared a binomial and got an answer of  x² - 4x + 4.  Unfortunately he cannot remember the binomial.  Help Juan remember the binomial which he squared.

Choose:

(x+ 4)
(x + 2)
(x - 2)
(x - 4)
 

 

 

  
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Created by Michael Caldwell