Question

The area of a rectangular field is given by the trinomial t^2 - 4t - 25. The length of the rectangle is t + 5. What is the expression for the width of the field

Answer 1

To find the width of the field, we need to divide the area of the rectangle by the length:

Width = Area / Length

Width = (t^2 - 4t - 25) / (t + 5)

Now, we can perform polynomial division to simplify the expression:

t - 9
t + 5 | t^2 - 4t - 25
- (t^2 + 5t)
------------
-9t - 25
- (-9t - 45)
----------
20

Therefore, the width of the field is t - 9.