The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). if area = length × width, what is the length of the rectangle?

  (x -5)

Step-by-step explanation:

The area expression can be factored by grouping:

  x^3 -5x^2 +3x -15 = (x^3 -5x^2) +(3x -15) = x^2(x-5) +3(x -5)

  = (x^2 +3)(x -5)

The area expression is the product of (x^2 +3) and (x -5). If the factor (x^2 +3) represents the width of the rectangle, then (x -5) can represent the length.

The length of the rectangle is (x -5).

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.