A garden is shaped like a rectangle. The length of the rectangle is 2 feet less than a number. The width is 4 feet more than that same number. If the area of the garden is 16 feet^2, find the unknown number.​

x = 4

Step-by-step explanation:

16 = (x - 2)(x + 4)

16 = x² + 2x - 8

0 = x² + 2x - 24

0 = (x + 6)(x - 4)

either

x + 6 = 0

x = -6

which means length = -8 ft and width = -2 ft which is rather silly with negative values, so we ignore

or

x - 4 = 0

x = 4

Where length  = 2 ft and width = 8 ft

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3