Answer:
[tex]4x^3-60x^2+224 x[/tex]
Step-by-step explanation:
We are given that
Length of rectangle=16 units
Width of rectangle=14 units
We have to write a polynomial function for volume of the box when a square of side x cut from each corner of given box.
Length of new box=16-2x units
Width of new box= 14-2x units
Height of new box=x units
Volume of box=[tex]L\times B\times H[/tex]
Substitute the values then we get
Volume of new box=[tex](16-2x)(14-2x)x[/tex]
Volume of new box=[tex]4x^3-60x^2+224 x[/tex]
Hence, the volume of the box as a polynomial function is given by
[tex]4x^3-60x^2+224 x[/tex]
