Answer:
Length=9 inches,width=4 inches, height =2 inches.
 k= 
Step-by-step explanation:
a) If by synethetic division method the remainder equals i.e in the last row and last column if figure yield is 0 then 2 is one of the factor i.e one of the solution of given equation.
Remainder is 0.
Hence 2 is the solution of given equation.
b) Given a box having volume 72 cubic inches
     Let Height = x inches
    ∵ length is 7 inches more than the height
   ⇒     Length = x+7 inches
   & also width is twice the height 
  ⇒      Width = 
    Given   Volume = 72 cubic inches
     = 72
 = 72
      - 72 = 0
 - 72 = 0
From part a, 2 is the solution of above equation
⇒       Length = x+7 = 2+7 = 9 inches
            Width =  = 4 inches
 = 4 inches
          Height = x = 2 inches
Given  is a factor of
 is a factor of 
Hence, 
             
                    
                        k= 