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 = 0
From part a, 2 is the solution of above equation
⇒ Length = x+7 = 2+7 = 9 inches
Width =
= 4 inches
Height = x = 2 inches
Given
is a factor of 
Hence, 


k= 