Question

Length = 4 + x Width = x Height = x2 + 1 The polynomial that represents the volume of Box 3 has a degree of .

Answer 1

Explanation:

volume=(4+x)*x*(x^2+1)

`=(4+x)*(x^3+x)\\=4x^3+4x+x^4+x^2\\=x^4+4x^3+x^2+4x\\it is of degree 4`

Answer 2

The degree of polynomial=4

Explanation:

We are given that

Length
`=4+x`

Width=
`x`

Height=
`x^2+1`

We have to find the polynomial .

Volume of box =
`L* B* H`

Substitute the values in the given formula

Volume of box=
`(4+x)(x)(x^2+1)`

Volume of box=
`(4+x)(x^3+x)=4x^3+4x+x^4+x^2`

Volume of box=
`x^4+4x^3+x^2+4x`

Highest power of variable=4

Hence, the degree of polynomial=4