SOLUTION: 12.Essay: Show all work. The area of a rectangular swimming pool is given by 5x^2 - 31x - 28 ft^2 . One side length of the pool is given by 5x + 4 feet. What is an algebraic expres
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-> SOLUTION: 12.Essay: Show all work. The area of a rectangular swimming pool is given by 5x^2 - 31x - 28 ft^2 . One side length of the pool is given by 5x + 4 feet. What is an algebraic expres
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Question 503716: 12.Essay: Show all work. The area of a rectangular swimming pool is given by 5x^2 - 31x - 28 ft^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.
You can put this solution on YOUR website! 12.Essay: Show all work. The area of a rectangular swimming pool is given by 5x^2 - 31x - 28 ft^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.
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Factoring:
5x^2 - 31x - 28
rewrite -31x as:
5x^2 - 35x + 4x - 28
group:
(5x^2 - 35x) + (4x - 28)
5x(x - 7) + 4(x - 7)
(x - 7)(5x + 4)
.
Algebraic expression for the "other side" is:
(x - 7) feet
or
x-7 feet
.
to check, you can FOIL:
(x - 7)(5x+4)
