Question

Show all work. The area of a rectangular swimming pool is given by5x^2-31x-28ft^2 . One side length of the pool is given by 5x + 4 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 1

area of a rectangular : length * breadth
AREA : 5x^2-31x-28 ft^2
Length : 5x+4 ft
5x+4ft ( breadth ) = 5x^2-31x-28 ft^2
breadth = (5x^2-31x-28ft^2)/(5x+4ft)

Answer 2

(5x^(2)-31x-28)/(5x+4)

Find the factors such that the product of the factors is the trinomial 5x^(2)-31x-28. This can be done by trial and error and checked using the FOIL method of simplifying polynomials.
((5x+4)(x-7))/(5x+4)

Reduce the expression by canceling out the common factor of (5x+4) from the numerator and denominator.
(<X>(5x+4)<x>(x-7))/(<X>(5x+4)<x>)

Reduce the expression by canceling out the common factor of (5x+4) from the numerator and denominator.
(x-7)

Remove the parentheses around the expression x-7.
x-7

Answer 3

<> means ----------------- i cut that down

Answer 4

so x-7 is my answer