Question

Length = 4 + x

Width = x
Height = x2 + 1

The polynomial that represents the volume of Box 3 has a degree of

Answer 1

The polynomial that represents the volume of Box 3 has a degree of 4

What is the base area of Box 3? 1 x2 + 4 x

What is the volume of Box 3?

B. x4 + 4x3 + x2 + 4x

Explanation:

Answer 2

We are given :

Length = 4 + x

Width = x

Height = x² + 1

`Volume = Length * width * height`

Multiplying length , width and height,

`V = (4+x)(x)(x^(2) +1)`

`=(x^(2) +4x )(x^(2) +1)`

Using foil method,

`=x^(4) +x^(2) +4x^(3) +4x`

So the highest power is 4 here.

Answer : The polynomial that represents the volume of Box 3 has a degree of 4.