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This is a Polynomial.

A homeowner wants to enlarge a closet that has an area of (x^2+3x+2)ft^2. The length is (x+2)ft. After construction the area will be (x^2+8x+15)ft^2 with a length of (x+3) ft. By how many feet will the length and width increase after construction?

 May 14, 2014

Best Answer 

 #1
avatar+130514 
+5

Factoring the polynomial representing the area before the construction, we have

(x + 2) (x +1)   So the length was (x + 2) and the width was (x + 1)

Factoring the polynomial representing the area after the construction, we have

(x + 3) (x + 5)  So the length was (x + 3) and the width was (x + 5)

So the length increased by 1 and the width increased by 4

 

 May 14, 2014
 #1
avatar+130514 
+5
Best Answer

Factoring the polynomial representing the area before the construction, we have

(x + 2) (x +1)   So the length was (x + 2) and the width was (x + 1)

Factoring the polynomial representing the area after the construction, we have

(x + 3) (x + 5)  So the length was (x + 3) and the width was (x + 5)

So the length increased by 1 and the width increased by 4

 

CPhill May 14, 2014

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