SOLUTION: Essay: Show all work. The area of a rectangular swimming pool is given by 4x^2 + 19x + 12 ft^2. One side length of the pool is given by 4x + 3 feet. What is an algebraic expression

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Essay: Show all work. The area of a rectangular swimming pool is given by 4x^2 + 19x + 12 ft^2. One side length of the pool is given by 4x + 3 feet. What is an algebraic expression      Log On


   



Question 461467: Essay: Show all work. The area of a rectangular swimming pool is given by 4x^2 + 19x + 12 ft^2. One side length of the pool is given by 4x + 3 feet. What is an algebraic expression for the other side length of the pool? Simplify this, and include correct units as part of your answer.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The side length is equal to (4x^2 + 19x + 12)/(4x + 3). Either by long or synthetic division, or noting that the dividend factors to (4x + 3)(x + 4), we conclude that the other side length is x + 4 feet.