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?
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
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