SOLUTION: A brick manufacturer makes bricks with a length and width that are 6 inches longer than the height. Let y equal the height of the brick. Find the polynomial that represents the sur

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A brick manufacturer makes bricks with a length and width that are 6 inches longer than the height. Let y equal the height of the brick. Find the polynomial that represents the sur      Log On


   



Question 1086565: A brick manufacturer makes bricks with a length and width that are 6 inches longer than the height. Let y equal the height of the brick. Find the polynomial that represents the surface area of the brick and then factor this polynomial.
Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.
This polynomial is

  P(y) = 2y%2A%28y%2B6%29+%2B+2y%2A%28y%2B6%29+%2B+2%2A%28y%2B6%29%5E2 = 

= 2y%5E2+%2B+12y+%2B+2y%5E2+%2B+12y+%2B+2y%5E2+%2B+24y+%2B+72 = 

= 6y%5E2+%2B+48y+%2B+72 = 6%2A%28y%5E2+%2B+8y+%2B+12%29 = 6%2A%28y%2B2%29%2A%28y%2B6%29.

Solved.