Question

The area of a rectangle is given by the expression XP-4x*+5x-2. The length of one side

of the rectangle is represented by the expression x-2. Which expression represents the
length of the other side?
1.

Answer 1

Explanation:

x2 + 5x + 4 (the area of the rectangle)

x + 2 (the length of one side)

(x2 + 5x + 4)/(x + 2)

do a division of this polynomial and you get; (x + 3) - 2/(x+2), you could leave the answer like this or you could simplify by using the LCM method

= [(x+2)(x+3) - 2]/(x + 2)

checking; (x + 2)*[(x+2)(x+3) - 2]/(x + 2) = (x+2)(x+3) - 2 = x2 +5x + 6 - 2 = x2 +5x + 4 (proven)