Question

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

Answer 1

Answer:

Step-by-step 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

Answer:

The degree of polynomial=4

Step-by-step explanation:

We are given that

Length $=4+x$

Width=$x$

Height=$x^2+1$

We have to find the polynomial .

Volume of box =$L\times B\times H$

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