The width w of a rectangular swimming pool is x+4. the area a of the pool is x^3-13x+12. What is an expression for the length of the pool
X^2+4x+3
X^2-4x-3
X^2-4x+3
X^2+4x-3

Respuesta :

Answer: x² - 4x + 3.

Step-by-step explanation:

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The expression for the length of the pool will be x² - 4x + 3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The width w of a rectangular swimming pool is x+4. the area of the pool is x³-13x+12.

The area is given as:-

A  =  L  x  W

x³-13x+12.  =  L   x  ( x+4 )

L  =   ( x³ - 13x + 12 )  /  (  x  +  4 )

x  +  4   )   x³ - 13x + 12   (  x² - 4x + 3.

                x³  + 4x²

              -------------------

              -4x²  -13x  +  12

              -4x²  -16x

              ---------------------

               3x  +  1 2

                3x  +  12

              -----------------

                         0

Therefore the expression for the length of the pool will be x² - 4x + 3.

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