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lara31 [8.8K]
3 years ago
15

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

Mathematics
2 answers:
BabaBlast [244]3 years ago
7 0

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

Nat2105 [25]3 years ago
6 0

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

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