Respuesta :

Answer:

Step-by-step explanation:

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

[tex]=(4+x)*(x^3+x)\\=4x^3+4x+x^4+x^2\\=x^4+4x^3+x^2+4x\\it is of degree 4[/tex]

Answer:

The degree of polynomial=4

Step-by-step explanation:

We are given that

Length [tex]=4+x[/tex]

Width=[tex]x[/tex]

Height=[tex]x^2+1[/tex]

We have to find the polynomial .

Volume of box =[tex]L\times B\times H[/tex]

Substitute the values in the given formula

Volume of box=[tex](4+x)(x)(x^2+1)[/tex]

Volume of box=[tex](4+x)(x^3+x)=4x^3+4x+x^4+x^2[/tex]

Volume of box=[tex]x^4+4x^3+x^2+4x[/tex]

Highest power of variable=4

Hence, the degree of polynomial=4