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