We are given :
Length = 4 + x
Width = x
Height = x² + 1
[tex] Volume = Length * width * height [/tex]
Multiplying length , width and height,
[tex] V = (4+x)(x)(x^{2} +1) [/tex]
[tex] =(x^{2} +4x )(x^{2} +1) [/tex]
Using foil method,
[tex] =x^{4} +x^{2} +4x^{3} +4x [/tex]
So the highest power is 4 here.
Answer : The polynomial that represents the volume of Box 3 has a degree of 4.
