micaelagruezo
micaelagruezo micaelagruezo
  • 06-10-2020
  • Mathematics
contestada

If the area of the rectangle is given by the polynomial 2x^2-7x-15, what is the dimension of the reactangle in terms of x?​

Respuesta :

mhanifa
mhanifa mhanifa
  • 08-10-2020

Answer:

  • x - 5 and 2x + 3

Step-by-step explanation:

Given

  • Area of rectangle = 2x^2 - 7x - 15

To find

  • Dimensions of rectangle

Solution

Since the area is the product of the sides, let's try to factorize the given:

  • 2x^2 - 7x - 15=
  • 2x^2 - 10x + 3x - 15 =
  • 2x(x - 5) + 3(x - 5) =
  • (x - 5)(2x + 3)

So the dimensions are:

  • x - 5 and 2x + 3

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